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Finding the Fourth Proportional to 185,875.52, 278,656.56 and 80,615.24

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Solution

The fourth proportional to 185,875.52, 278,656.56 and 80,615.24 is: 120,854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,875.52 : 278,656.56 = 80,615.24 : x
  2. Step 2: Convert to fraction form
    185,875.52/278,656.56 = 80,615.24/x
  3. Step 3: Cross multiply
    185,875.52x = 278,656.56 × 80,615.24
  4. Step 4: Simplify right side
    185,875.52x = 22,463,965,461.97
  5. Step 5: Solve for x
    x = 22,463,965,461.97/185,875.52
  6. Step 6: Final answer
    x = 120,854.89

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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.