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Finding the Fourth Proportional to 78,341.76, 108,110.70 and 42,531.66

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Solution

The fourth proportional to 78,341.76, 108,110.70 and 42,531.66 is: 58,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341.76 : 108,110.70 = 42,531.66 : x
  2. Step 2: Convert to fraction form
    78,341.76/108,110.70 = 42,531.66/x
  3. Step 3: Cross multiply
    78,341.76x = 108,110.70 × 42,531.66
  4. Step 4: Simplify right side
    78,341.76x = 4,598,127,534.76
  5. Step 5: Solve for x
    x = 4,598,127,534.76/78,341.76
  6. Step 6: Final answer
    x = 58,693.19

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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.