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Finding the Fourth Proportional to 261,377.57, 392,089.74 and 101,449.76

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Solution

The fourth proportional to 261,377.57, 392,089.74 and 101,449.76 is: 152,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,377.57 : 392,089.74 = 101,449.76 : x
  2. Step 2: Convert to fraction form
    261,377.57/392,089.74 = 101,449.76/x
  3. Step 3: Cross multiply
    261,377.57x = 392,089.74 × 101,449.76
  4. Step 4: Simplify right side
    261,377.57x = 39,777,408,061.01
  5. Step 5: Solve for x
    x = 39,777,408,061.01/261,377.57
  6. Step 6: Final answer
    x = 152,183.71

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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.