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Finding the Fourth Proportional to 260,387.73, 390,729.11 and 102,726.90

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Solution

The fourth proportional to 260,387.73, 390,729.11 and 102,726.90 is: 154,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,387.73 : 390,729.11 = 102,726.90 : x
  2. Step 2: Convert to fraction form
    260,387.73/390,729.11 = 102,726.90/x
  3. Step 3: Cross multiply
    260,387.73x = 390,729.11 × 102,726.90
  4. Step 4: Simplify right side
    260,387.73x = 40,138,389,696.42
  5. Step 5: Solve for x
    x = 40,138,389,696.42/260,387.73
  6. Step 6: Final answer
    x = 154,148.54

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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.