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Finding the Fourth Proportional to 156,251.88, 234,388.74 and 77,344.92

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Solution

The fourth proportional to 156,251.88, 234,388.74 and 77,344.92 is: 116,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,251.88 : 234,388.74 = 77,344.92 : x
  2. Step 2: Convert to fraction form
    156,251.88/234,388.74 = 77,344.92/x
  3. Step 3: Cross multiply
    156,251.88x = 234,388.74 × 77,344.92
  4. Step 4: Simplify right side
    156,251.88x = 18,128,778,344.20
  5. Step 5: Solve for x
    x = 18,128,778,344.20/156,251.88
  6. Step 6: Final answer
    x = 116,022.79

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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.