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Finding the Fourth Proportional to 257,103.18, 385,564.32 and 77,134.86

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Solution

The fourth proportional to 257,103.18, 385,564.32 and 77,134.86 is: 115,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,103.18 : 385,564.32 = 77,134.86 : x
  2. Step 2: Convert to fraction form
    257,103.18/385,564.32 = 77,134.86/x
  3. Step 3: Cross multiply
    257,103.18x = 385,564.32 × 77,134.86
  4. Step 4: Simplify right side
    257,103.18x = 29,740,449,844.20
  5. Step 5: Solve for x
    x = 29,740,449,844.20/257,103.18
  6. Step 6: Final answer
    x = 115,675.15

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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.