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Finding the Fourth Proportional to 78,287.28, 108,035.05 and 47,649.29

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Solution

The fourth proportional to 78,287.28, 108,035.05 and 47,649.29 is: 65,755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.28 : 108,035.05 = 47,649.29 : x
  2. Step 2: Convert to fraction form
    78,287.28/108,035.05 = 47,649.29/x
  3. Step 3: Cross multiply
    78,287.28x = 108,035.05 × 47,649.29
  4. Step 4: Simplify right side
    78,287.28x = 5,147,793,427.61
  5. Step 5: Solve for x
    x = 5,147,793,427.61/78,287.28
  6. Step 6: Final answer
    x = 65,755.17

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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.