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Finding the Fourth Proportional to 47,807.80, 71,687.40 and 28,092.40

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Solution

The fourth proportional to 47,807.80, 71,687.40 and 28,092.40 is: 42,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.80 : 71,687.40 = 28,092.40 : x
  2. Step 2: Convert to fraction form
    47,807.80/71,687.40 = 28,092.40/x
  3. Step 3: Cross multiply
    47,807.80x = 71,687.40 × 28,092.40
  4. Step 4: Simplify right side
    47,807.80x = 2,013,871,115.76
  5. Step 5: Solve for x
    x = 2,013,871,115.76/47,807.80
  6. Step 6: Final answer
    x = 42,124.32

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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.