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Finding the Fourth Proportional to 402,123.90, 603,166.65 and 135,858.30

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Solution

The fourth proportional to 402,123.90, 603,166.65 and 135,858.30 is: 203,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,123.90 : 603,166.65 = 135,858.30 : x
  2. Step 2: Convert to fraction form
    402,123.90/603,166.65 = 135,858.30/x
  3. Step 3: Cross multiply
    402,123.90x = 603,166.65 × 135,858.30
  4. Step 4: Simplify right side
    402,123.90x = 81,945,195,685.70
  5. Step 5: Solve for x
    x = 81,945,195,685.70/402,123.90
  6. Step 6: Final answer
    x = 203,780.96

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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.