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Finding the Fourth Proportional to 78,432.54, 108,236.81 and 42,622.47

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Solution

The fourth proportional to 78,432.54, 108,236.81 and 42,622.47 is: 58,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,432.54 : 108,236.81 = 42,622.47 : x
  2. Step 2: Convert to fraction form
    78,432.54/108,236.81 = 42,622.47/x
  3. Step 3: Cross multiply
    78,432.54x = 108,236.81 × 42,622.47
  4. Step 4: Simplify right side
    78,432.54x = 4,613,320,293.68
  5. Step 5: Solve for x
    x = 4,613,320,293.68/78,432.54
  6. Step 6: Final answer
    x = 58,818.96

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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.