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Finding the Fourth Proportional to 261,456.35, 392,350.42 and 111,697.76

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Solution

The fourth proportional to 261,456.35, 392,350.42 and 111,697.76 is: 167,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,456.35 : 392,350.42 = 111,697.76 : x
  2. Step 2: Convert to fraction form
    261,456.35/392,350.42 = 111,697.76/x
  3. Step 3: Cross multiply
    261,456.35x = 392,350.42 × 111,697.76
  4. Step 4: Simplify right side
    261,456.35x = 43,824,663,049.06
  5. Step 5: Solve for x
    x = 43,824,663,049.06/261,456.35
  6. Step 6: Final answer
    x = 167,617.51

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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.