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Finding the Fourth Proportional to 218,877.76, 302,033.19 and 123,407.92

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Solution

The fourth proportional to 218,877.76, 302,033.19 and 123,407.92 is: 170,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,877.76 : 302,033.19 = 123,407.92 : x
  2. Step 2: Convert to fraction form
    218,877.76/302,033.19 = 123,407.92/x
  3. Step 3: Cross multiply
    218,877.76x = 302,033.19 × 123,407.92
  4. Step 4: Simplify right side
    218,877.76x = 37,273,287,748.86
  5. Step 5: Solve for x
    x = 37,273,287,748.86/218,877.76
  6. Step 6: Final answer
    x = 170,292.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.