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Finding the Fourth Proportional to 80,564.80, 120,866.40 and 38,977.60

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Solution

The fourth proportional to 80,564.80, 120,866.40 and 38,977.60 is: 58,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,564.80 : 120,866.40 = 38,977.60 : x
  2. Step 2: Convert to fraction form
    80,564.80/120,866.40 = 38,977.60/x
  3. Step 3: Cross multiply
    80,564.80x = 120,866.40 × 38,977.60
  4. Step 4: Simplify right side
    80,564.80x = 4,711,082,192.64
  5. Step 5: Solve for x
    x = 4,711,082,192.64/80,564.80
  6. Step 6: Final answer
    x = 58,475.69

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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.