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Finding the Fourth Proportional to 78,342.60, 108,112.86 and 42,532.59

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Solution

The fourth proportional to 78,342.60, 108,112.86 and 42,532.59 is: 58,695.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.60 : 108,112.86 = 42,532.59 : x
  2. Step 2: Convert to fraction form
    78,342.60/108,112.86 = 42,532.59/x
  3. Step 3: Cross multiply
    78,342.60x = 108,112.86 × 42,532.59
  4. Step 4: Simplify right side
    78,342.60x = 4,598,319,948.11
  5. Step 5: Solve for x
    x = 4,598,319,948.11/78,342.60
  6. Step 6: Final answer
    x = 58,695.01

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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.