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Finding the Fourth Proportional to 261,781.93, 361,249.45 and 159,977.76

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Solution

The fourth proportional to 261,781.93, 361,249.45 and 159,977.76 is: 220,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,781.93 : 361,249.45 = 159,977.76 : x
  2. Step 2: Convert to fraction form
    261,781.93/361,249.45 = 159,977.76/x
  3. Step 3: Cross multiply
    261,781.93x = 361,249.45 × 159,977.76
  4. Step 4: Simplify right side
    261,781.93x = 57,791,877,812.23
  5. Step 5: Solve for x
    x = 57,791,877,812.23/261,781.93
  6. Step 6: Final answer
    x = 220,763.43

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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.