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Finding the Fourth Proportional to 257,892.74, 386,820.82 and 68,348.90

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Solution

The fourth proportional to 257,892.74, 386,820.82 and 68,348.90 is: 102,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,892.74 : 386,820.82 = 68,348.90 : x
  2. Step 2: Convert to fraction form
    257,892.74/386,820.82 = 68,348.90/x
  3. Step 3: Cross multiply
    257,892.74x = 386,820.82 × 68,348.90
  4. Step 4: Simplify right side
    257,892.74x = 26,438,776,036.26
  5. Step 5: Solve for x
    x = 26,438,776,036.26/257,892.74
  6. Step 6: Final answer
    x = 102,518.50

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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.