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Finding the Fourth Proportional to 78,464.80, 117,697.20 and 72,013.60

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Solution

The fourth proportional to 78,464.80, 117,697.20 and 72,013.60 is: 108,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464.80 : 117,697.20 = 72,013.60 : x
  2. Step 2: Convert to fraction form
    78,464.80/117,697.20 = 72,013.60/x
  3. Step 3: Cross multiply
    78,464.80x = 117,697.20 × 72,013.60
  4. Step 4: Simplify right side
    78,464.80x = 8,475,799,081.92
  5. Step 5: Solve for x
    x = 8,475,799,081.92/78,464.80
  6. Step 6: Final answer
    x = 108,020.40

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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.