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Finding the Fourth Proportional to 64,990.70, 97,522.11 and 31,711.04

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Solution

The fourth proportional to 64,990.70, 97,522.11 and 31,711.04 is: 47,584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,990.70 : 97,522.11 = 31,711.04 : x
  2. Step 2: Convert to fraction form
    64,990.70/97,522.11 = 31,711.04/x
  3. Step 3: Cross multiply
    64,990.70x = 97,522.11 × 31,711.04
  4. Step 4: Simplify right side
    64,990.70x = 3,092,527,957.75
  5. Step 5: Solve for x
    x = 3,092,527,957.75/64,990.70
  6. Step 6: Final answer
    x = 47,584.16

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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.