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Finding the Fourth Proportional to 257,851.74, 386,618.58 and 89,332.86

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Solution

The fourth proportional to 257,851.74, 386,618.58 and 89,332.86 is: 133,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,851.74 : 386,618.58 = 89,332.86 : x
  2. Step 2: Convert to fraction form
    257,851.74/386,618.58 = 89,332.86/x
  3. Step 3: Cross multiply
    257,851.74x = 386,618.58 × 89,332.86
  4. Step 4: Simplify right side
    257,851.74x = 34,537,743,480.54
  5. Step 5: Solve for x
    x = 34,537,743,480.54/257,851.74
  6. Step 6: Final answer
    x = 133,944.19

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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.