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Finding the Fourth Proportional to 257,909.74, 386,867.14 and 77,996.59

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Solution

The fourth proportional to 257,909.74, 386,867.14 and 77,996.59 is: 116,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,909.74 : 386,867.14 = 77,996.59 : x
  2. Step 2: Convert to fraction form
    257,909.74/386,867.14 = 77,996.59/x
  3. Step 3: Cross multiply
    257,909.74x = 386,867.14 × 77,996.59
  4. Step 4: Simplify right side
    257,909.74x = 30,174,316,540.89
  5. Step 5: Solve for x
    x = 30,174,316,540.89/257,909.74
  6. Step 6: Final answer
    x = 116,995.65

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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.