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Finding the Fourth Proportional to 149,154.66, 205,787.03 and 84,613.23

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Solution

The fourth proportional to 149,154.66, 205,787.03 and 84,613.23 is: 116,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,154.66 : 205,787.03 = 84,613.23 : x
  2. Step 2: Convert to fraction form
    149,154.66/205,787.03 = 84,613.23/x
  3. Step 3: Cross multiply
    149,154.66x = 205,787.03 × 84,613.23
  4. Step 4: Simplify right side
    149,154.66x = 17,412,304,877.34
  5. Step 5: Solve for x
    x = 17,412,304,877.34/149,154.66
  6. Step 6: Final answer
    x = 116,739.93

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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.