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Finding the Fourth Proportional to 252,088.65, 378,131.95 and 102,327.68

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Solution

The fourth proportional to 252,088.65, 378,131.95 and 102,327.68 is: 153,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,088.65 : 378,131.95 = 102,327.68 : x
  2. Step 2: Convert to fraction form
    252,088.65/378,131.95 = 102,327.68/x
  3. Step 3: Cross multiply
    252,088.65x = 378,131.95 × 102,327.68
  4. Step 4: Simplify right side
    252,088.65x = 38,693,365,177.38
  5. Step 5: Solve for x
    x = 38,693,365,177.38/252,088.65
  6. Step 6: Final answer
    x = 153,491.10

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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.