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Finding the Fourth Proportional to 257,737.95, 386,598.42 and 105,929.78

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Solution

The fourth proportional to 257,737.95, 386,598.42 and 105,929.78 is: 158,891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,737.95 : 386,598.42 = 105,929.78 : x
  2. Step 2: Convert to fraction form
    257,737.95/386,598.42 = 105,929.78/x
  3. Step 3: Cross multiply
    257,737.95x = 386,598.42 × 105,929.78
  4. Step 4: Simplify right side
    257,737.95x = 40,952,283,645.96
  5. Step 5: Solve for x
    x = 40,952,283,645.96/257,737.95
  6. Step 6: Final answer
    x = 158,891.17

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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.