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Finding the Fourth Proportional to 47,103.80, 70,657.11 and 13,823.87

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Solution

The fourth proportional to 47,103.80, 70,657.11 and 13,823.87 is: 20,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,103.80 : 70,657.11 = 13,823.87 : x
  2. Step 2: Convert to fraction form
    47,103.80/70,657.11 = 13,823.87/x
  3. Step 3: Cross multiply
    47,103.80x = 70,657.11 × 13,823.87
  4. Step 4: Simplify right side
    47,103.80x = 976,754,349.93
  5. Step 5: Solve for x
    x = 976,754,349.93/47,103.80
  6. Step 6: Final answer
    x = 20,736.21

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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.