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Finding the Fourth Proportional to 47,987.70, 71,981.55 and 28,960.80

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Solution

The fourth proportional to 47,987.70, 71,981.55 and 28,960.80 is: 43,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,987.70 : 71,981.55 = 28,960.80 : x
  2. Step 2: Convert to fraction form
    47,987.70/71,981.55 = 28,960.80/x
  3. Step 3: Cross multiply
    47,987.70x = 71,981.55 × 28,960.80
  4. Step 4: Simplify right side
    47,987.70x = 2,084,643,273.24
  5. Step 5: Solve for x
    x = 2,084,643,273.24/47,987.70
  6. Step 6: Final answer
    x = 43,441.20

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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.