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Finding the Fourth Proportional to 252,087.65, 378,130.46 and 102,326.68

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Solution

The fourth proportional to 252,087.65, 378,130.46 and 102,326.68 is: 153,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,087.65 : 378,130.46 = 102,326.68 : x
  2. Step 2: Convert to fraction form
    252,087.65/378,130.46 = 102,326.68/x
  3. Step 3: Cross multiply
    252,087.65x = 378,130.46 × 102,326.68
  4. Step 4: Simplify right side
    252,087.65x = 38,692,833,121.71
  5. Step 5: Solve for x
    x = 38,692,833,121.71/252,087.65
  6. Step 6: Final answer
    x = 153,489.60

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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.