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Finding the Fourth Proportional to 71,911.66, 99,191.78 and 47,712.10

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Solution

The fourth proportional to 71,911.66, 99,191.78 and 47,712.10 is: 65,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,911.66 : 99,191.78 = 47,712.10 : x
  2. Step 2: Convert to fraction form
    71,911.66/99,191.78 = 47,712.10/x
  3. Step 3: Cross multiply
    71,911.66x = 99,191.78 × 47,712.10
  4. Step 4: Simplify right side
    71,911.66x = 4,732,648,126.54
  5. Step 5: Solve for x
    x = 4,732,648,126.54/71,911.66
  6. Step 6: Final answer
    x = 65,811.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.