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Finding the Fourth Proportional to 252,148.71, 378,224.28 and 74,659.08

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Solution

The fourth proportional to 252,148.71, 378,224.28 and 74,659.08 is: 111,988.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,148.71 : 378,224.28 = 74,659.08 : x
  2. Step 2: Convert to fraction form
    252,148.71/378,224.28 = 74,659.08/x
  3. Step 3: Cross multiply
    252,148.71x = 378,224.28 × 74,659.08
  4. Step 4: Simplify right side
    252,148.71x = 28,237,876,778.46
  5. Step 5: Solve for x
    x = 28,237,876,778.46/252,148.71
  6. Step 6: Final answer
    x = 111,988.98

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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.