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Finding the Fourth Proportional to 123,686.76, 185,241.33 and 90,324.06

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Solution

The fourth proportional to 123,686.76, 185,241.33 and 90,324.06 is: 135,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,686.76 : 185,241.33 = 90,324.06 : x
  2. Step 2: Convert to fraction form
    123,686.76/185,241.33 = 90,324.06/x
  3. Step 3: Cross multiply
    123,686.76x = 185,241.33 × 90,324.06
  4. Step 4: Simplify right side
    123,686.76x = 16,731,749,005.40
  5. Step 5: Solve for x
    x = 16,731,749,005.40/123,686.76
  6. Step 6: Final answer
    x = 135,275.18

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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.