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Finding the Fourth Proportional to 47,272.70, 70,909.05 and 20,980.10

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Solution

The fourth proportional to 47,272.70, 70,909.05 and 20,980.10 is: 31,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,272.70 : 70,909.05 = 20,980.10 : x
  2. Step 2: Convert to fraction form
    47,272.70/70,909.05 = 20,980.10/x
  3. Step 3: Cross multiply
    47,272.70x = 70,909.05 × 20,980.10
  4. Step 4: Simplify right side
    47,272.70x = 1,487,678,959.91
  5. Step 5: Solve for x
    x = 1,487,678,959.91/47,272.70
  6. Step 6: Final answer
    x = 31,470.15

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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.