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Finding the Fourth Proportional to 157,401.92, 235,931.06 and 77,494.88

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Solution

The fourth proportional to 157,401.92, 235,931.06 and 77,494.88 is: 116,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,401.92 : 235,931.06 = 77,494.88 : x
  2. Step 2: Convert to fraction form
    157,401.92/235,931.06 = 77,494.88/x
  3. Step 3: Cross multiply
    157,401.92x = 235,931.06 × 77,494.88
  4. Step 4: Simplify right side
    157,401.92x = 18,283,449,182.97
  5. Step 5: Solve for x
    x = 18,283,449,182.97/157,401.92
  6. Step 6: Final answer
    x = 116,157.73

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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.