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Finding the Fourth Proportional to 257,599.34, 386,355.26 and 68,061.78

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Solution

The fourth proportional to 257,599.34, 386,355.26 and 68,061.78 is: 102,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,599.34 : 386,355.26 = 68,061.78 : x
  2. Step 2: Convert to fraction form
    257,599.34/386,355.26 = 68,061.78/x
  3. Step 3: Cross multiply
    257,599.34x = 386,355.26 × 68,061.78
  4. Step 4: Simplify right side
    257,599.34x = 26,296,026,707.96
  5. Step 5: Solve for x
    x = 26,296,026,707.96/257,599.34
  6. Step 6: Final answer
    x = 102,081.11

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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.