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Finding the Fourth Proportional to 78,283.60, 108,031.80 and 42,473.68

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Solution

The fourth proportional to 78,283.60, 108,031.80 and 42,473.68 is: 58,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,283.60 : 108,031.80 = 42,473.68 : x
  2. Step 2: Convert to fraction form
    78,283.60/108,031.80 = 42,473.68/x
  3. Step 3: Cross multiply
    78,283.60x = 108,031.80 × 42,473.68
  4. Step 4: Simplify right side
    78,283.60x = 4,588,508,103.02
  5. Step 5: Solve for x
    x = 4,588,508,103.02/78,283.60
  6. Step 6: Final answer
    x = 58,613.91

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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.