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Finding the Fourth Proportional to 138,333.80, 207,209.10 and 123,559.40

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Solution

The fourth proportional to 138,333.80, 207,209.10 and 123,559.40 is: 185,078.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,333.80 : 207,209.10 = 123,559.40 : x
  2. Step 2: Convert to fraction form
    138,333.80/207,209.10 = 123,559.40/x
  3. Step 3: Cross multiply
    138,333.80x = 207,209.10 × 123,559.40
  4. Step 4: Simplify right side
    138,333.80x = 25,602,632,070.54
  5. Step 5: Solve for x
    x = 25,602,632,070.54/138,333.80
  6. Step 6: Final answer
    x = 185,078.64

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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.