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Finding the Fourth Proportional to 261,053.72, 391,646.21 and 74,065.22

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Solution

The fourth proportional to 261,053.72, 391,646.21 and 74,065.22 is: 111,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,053.72 : 391,646.21 = 74,065.22 : x
  2. Step 2: Convert to fraction form
    261,053.72/391,646.21 = 74,065.22/x
  3. Step 3: Cross multiply
    261,053.72x = 391,646.21 × 74,065.22
  4. Step 4: Simplify right side
    261,053.72x = 29,007,361,845.93
  5. Step 5: Solve for x
    x = 29,007,361,845.93/261,053.72
  6. Step 6: Final answer
    x = 111,116.45

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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.