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Finding the Fourth Proportional to 257,785.98, 386,721.79 and 108,037.53

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Solution

The fourth proportional to 257,785.98, 386,721.79 and 108,037.53 is: 162,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,785.98 : 386,721.79 = 108,037.53 : x
  2. Step 2: Convert to fraction form
    257,785.98/386,721.79 = 108,037.53/x
  3. Step 3: Cross multiply
    257,785.98x = 386,721.79 × 108,037.53
  4. Step 4: Simplify right side
    257,785.98x = 41,780,466,988.78
  5. Step 5: Solve for x
    x = 41,780,466,988.78/257,785.98
  6. Step 6: Final answer
    x = 162,074.24

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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.