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Finding the Fourth Proportional to 47,987.70, 72,013.95 and 28,245.30

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Solution

The fourth proportional to 47,987.70, 72,013.95 and 28,245.30 is: 42,387.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987.70 : 72,013.95 = 28,245.30 : x
  2. Step 2: Convert to fraction form
    47,987.70/72,013.95 = 28,245.30/x
  3. Step 3: Cross multiply
    47,987.70x = 72,013.95 × 28,245.30
  4. Step 4: Simplify right side
    47,987.70x = 2,034,055,621.94
  5. Step 5: Solve for x
    x = 2,034,055,621.94/47,987.70
  6. Step 6: Final answer
    x = 42,387.02

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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.