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Finding the Fourth Proportional to 78,287.66, 108,035.60 and 47,649.68

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Solution

The fourth proportional to 78,287.66, 108,035.60 and 47,649.68 is: 65,755.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.66 : 108,035.60 = 47,649.68 : x
  2. Step 2: Convert to fraction form
    78,287.66/108,035.60 = 47,649.68/x
  3. Step 3: Cross multiply
    78,287.66x = 108,035.60 × 47,649.68
  4. Step 4: Simplify right side
    78,287.66x = 5,147,861,768.61
  5. Step 5: Solve for x
    x = 5,147,861,768.61/78,287.66
  6. Step 6: Final answer
    x = 65,755.72

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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.