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Finding the Fourth Proportional to 206,754,683.88, 285,317,768.64 and 112,669,648.20

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Solution

The fourth proportional to 206,754,683.88, 285,317,768.64 and 112,669,648.20 is: 155,482,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,754,683.88 : 285,317,768.64 = 112,669,648.20 : x
  2. Step 2: Convert to fraction form
    206,754,683.88/285,317,768.64 = 112,669,648.20/x
  3. Step 3: Cross multiply
    206,754,683.88x = 285,317,768.64 × 112,669,648.20
  4. Step 4: Simplify right side
    206,754,683.88x = 32,146,652,617,877,792
  5. Step 5: Solve for x
    x = 32,146,652,617,877,792/206,754,683.88
  6. Step 6: Final answer
    x = 155,482,100.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.