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Finding the Fourth Proportional to 71,711.86, 98,964.76 and 39,447.84

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Solution

The fourth proportional to 71,711.86, 98,964.76 and 39,447.84 is: 54,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,711.86 : 98,964.76 = 39,447.84 : x
  2. Step 2: Convert to fraction form
    71,711.86/98,964.76 = 39,447.84/x
  3. Step 3: Cross multiply
    71,711.86x = 98,964.76 × 39,447.84
  4. Step 4: Simplify right side
    71,711.86x = 3,903,946,018.12
  5. Step 5: Solve for x
    x = 3,903,946,018.12/71,711.86
  6. Step 6: Final answer
    x = 54,439.34

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1.5x scale

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.