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Finding the Fourth Proportional to 132,384.40, 198,611.80 and 57,472.40

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Solution

The fourth proportional to 132,384.40, 198,611.80 and 57,472.40 is: 86,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,384.40 : 198,611.80 = 57,472.40 : x
  2. Step 2: Convert to fraction form
    132,384.40/198,611.80 = 57,472.40/x
  3. Step 3: Cross multiply
    132,384.40x = 198,611.80 × 57,472.40
  4. Step 4: Simplify right side
    132,384.40x = 11,414,696,814.32
  5. Step 5: Solve for x
    x = 11,414,696,814.32/132,384.40
  6. Step 6: Final answer
    x = 86,223.88

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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.