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Finding the Fourth Proportional to 123,419.10, 185,020.65 and 83,847.90

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Solution

The fourth proportional to 123,419.10, 185,020.65 and 83,847.90 is: 125,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419.10 : 185,020.65 = 83,847.90 : x
  2. Step 2: Convert to fraction form
    123,419.10/185,020.65 = 83,847.90/x
  3. Step 3: Cross multiply
    123,419.10x = 185,020.65 × 83,847.90
  4. Step 4: Simplify right side
    123,419.10x = 15,513,592,959.14
  5. Step 5: Solve for x
    x = 15,513,592,959.14/123,419.10
  6. Step 6: Final answer
    x = 125,698.48

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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.