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Finding the Fourth Proportional to 254,531.72, 381,640.70 and 86,036.12

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Solution

The fourth proportional to 254,531.72, 381,640.70 and 86,036.12 is: 129,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,531.72 : 381,640.70 = 86,036.12 : x
  2. Step 2: Convert to fraction form
    254,531.72/381,640.70 = 86,036.12/x
  3. Step 3: Cross multiply
    254,531.72x = 381,640.70 × 86,036.12
  4. Step 4: Simplify right side
    254,531.72x = 32,834,885,062.08
  5. Step 5: Solve for x
    x = 32,834,885,062.08/254,531.72
  6. Step 6: Final answer
    x = 129,001.15

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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.