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Finding the Fourth Proportional to 171,139.40, 256,536.30 and 77,712.20

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Solution

The fourth proportional to 171,139.40, 256,536.30 and 77,712.20 is: 116,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,139.40 : 256,536.30 = 77,712.20 : x
  2. Step 2: Convert to fraction form
    171,139.40/256,536.30 = 77,712.20/x
  3. Step 3: Cross multiply
    171,139.40x = 256,536.30 × 77,712.20
  4. Step 4: Simplify right side
    171,139.40x = 19,936,000,252.86
  5. Step 5: Solve for x
    x = 19,936,000,252.86/171,139.40
  6. Step 6: Final answer
    x = 116,489.83

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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.