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Finding the Fourth Proportional to 102,449, 141,380.70 and 57,737

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Solution

The fourth proportional to 102,449, 141,380.70 and 57,737 is: 79,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,449 : 141,380.70 = 57,737 : x
  2. Step 2: Convert to fraction form
    102,449/141,380.70 = 57,737/x
  3. Step 3: Cross multiply
    102,449x = 141,380.70 × 57,737
  4. Step 4: Simplify right side
    102,449x = 8,162,897,475.90
  5. Step 5: Solve for x
    x = 8,162,897,475.90/102,449
  6. Step 6: Final answer
    x = 79,677.67

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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.