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Finding the Fourth Proportional to 261,055.13, 391,391.17 and 83,459.93

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Solution

The fourth proportional to 261,055.13, 391,391.17 and 83,459.93 is: 125,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,055.13 : 391,391.17 = 83,459.93 : x
  2. Step 2: Convert to fraction form
    261,055.13/391,391.17 = 83,459.93/x
  3. Step 3: Cross multiply
    261,055.13x = 391,391.17 × 83,459.93
  4. Step 4: Simplify right side
    261,055.13x = 32,665,479,650.82
  5. Step 5: Solve for x
    x = 32,665,479,650.82/261,055.13
  6. Step 6: Final answer
    x = 125,128.66

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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.