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Finding the Fourth Proportional to 47,713.20, 71,569.80 and 12,656.40

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Solution

The fourth proportional to 47,713.20, 71,569.80 and 12,656.40 is: 18,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,713.20 : 71,569.80 = 12,656.40 : x
  2. Step 2: Convert to fraction form
    47,713.20/71,569.80 = 12,656.40/x
  3. Step 3: Cross multiply
    47,713.20x = 71,569.80 × 12,656.40
  4. Step 4: Simplify right side
    47,713.20x = 905,816,016.72
  5. Step 5: Solve for x
    x = 905,816,016.72/47,713.20
  6. Step 6: Final answer
    x = 18,984.60

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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.