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Finding the Fourth Proportional to 78,478.80, 117,564.60 and 47,221.20

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Solution

The fourth proportional to 78,478.80, 117,564.60 and 47,221.20 is: 70,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.80 : 117,564.60 = 47,221.20 : x
  2. Step 2: Convert to fraction form
    78,478.80/117,564.60 = 47,221.20/x
  3. Step 3: Cross multiply
    78,478.80x = 117,564.60 × 47,221.20
  4. Step 4: Simplify right side
    78,478.80x = 5,551,541,489.52
  5. Step 5: Solve for x
    x = 5,551,541,489.52/78,478.80
  6. Step 6: Final answer
    x = 70,739.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.