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Finding the Fourth Proportional to 412,068.68, 618,172.80 and 142,123.52

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Solution

The fourth proportional to 412,068.68, 618,172.80 and 142,123.52 is: 213,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,068.68 : 618,172.80 = 142,123.52 : x
  2. Step 2: Convert to fraction form
    412,068.68/618,172.80 = 142,123.52/x
  3. Step 3: Cross multiply
    412,068.68x = 618,172.80 × 142,123.52
  4. Step 4: Simplify right side
    412,068.68x = 87,856,895,849.69
  5. Step 5: Solve for x
    x = 87,856,895,849.69/412,068.68
  6. Step 6: Final answer
    x = 213,209.35

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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.