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Finding the Fourth Proportional to 137,586.40, 206,185.20 and 84,839.20

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Solution

The fourth proportional to 137,586.40, 206,185.20 and 84,839.20 is: 127,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,586.40 : 206,185.20 = 84,839.20 : x
  2. Step 2: Convert to fraction form
    137,586.40/206,185.20 = 84,839.20/x
  3. Step 3: Cross multiply
    137,586.40x = 206,185.20 × 84,839.20
  4. Step 4: Simplify right side
    137,586.40x = 17,492,587,419.84
  5. Step 5: Solve for x
    x = 17,492,587,419.84/137,586.40
  6. Step 6: Final answer
    x = 127,138.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.