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Finding the Fourth Proportional to 252,330.80, 378,487.96 and 102,526.80

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Solution

The fourth proportional to 252,330.80, 378,487.96 and 102,526.80 is: 153,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,330.80 : 378,487.96 = 102,526.80 : x
  2. Step 2: Convert to fraction form
    252,330.80/378,487.96 = 102,526.80/x
  3. Step 3: Cross multiply
    252,330.80x = 378,487.96 × 102,526.80
  4. Step 4: Simplify right side
    252,330.80x = 38,805,159,377.33
  5. Step 5: Solve for x
    x = 38,805,159,377.33/252,330.80
  6. Step 6: Final answer
    x = 153,786.85

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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.