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Finding the Fourth Proportional to 71,442.46, 107,184.54 and 31,990.34

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Solution

The fourth proportional to 71,442.46, 107,184.54 and 31,990.34 is: 47,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,442.46 : 107,184.54 = 31,990.34 : x
  2. Step 2: Convert to fraction form
    71,442.46/107,184.54 = 31,990.34/x
  3. Step 3: Cross multiply
    71,442.46x = 107,184.54 × 31,990.34
  4. Step 4: Simplify right side
    71,442.46x = 3,428,869,877.34
  5. Step 5: Solve for x
    x = 3,428,869,877.34/71,442.46
  6. Step 6: Final answer
    x = 47,994.85

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1.5x scale

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.