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Finding the Fourth Proportional to 47,407.80, 71,121.60 and 15,816.60

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Solution

The fourth proportional to 47,407.80, 71,121.60 and 15,816.60 is: 23,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.80 : 71,121.60 = 15,816.60 : x
  2. Step 2: Convert to fraction form
    47,407.80/71,121.60 = 15,816.60/x
  3. Step 3: Cross multiply
    47,407.80x = 71,121.60 × 15,816.60
  4. Step 4: Simplify right side
    47,407.80x = 1,124,901,898.56
  5. Step 5: Solve for x
    x = 1,124,901,898.56/47,407.80
  6. Step 6: Final answer
    x = 23,728.20

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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.