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Finding the Fourth Proportional to 129,873.60, 194,761.80 and 45,601.20

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Solution

The fourth proportional to 129,873.60, 194,761.80 and 45,601.20 is: 68,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873.60 : 194,761.80 = 45,601.20 : x
  2. Step 2: Convert to fraction form
    129,873.60/194,761.80 = 45,601.20/x
  3. Step 3: Cross multiply
    129,873.60x = 194,761.80 × 45,601.20
  4. Step 4: Simplify right side
    129,873.60x = 8,881,371,794.16
  5. Step 5: Solve for x
    x = 8,881,371,794.16/129,873.60
  6. Step 6: Final answer
    x = 68,384.74

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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.