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Finding the Fourth Proportional to 138,087.20, 206,977.20 and 75,802.40

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Solution

The fourth proportional to 138,087.20, 206,977.20 and 75,802.40 is: 113,619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,087.20 : 206,977.20 = 75,802.40 : x
  2. Step 2: Convert to fraction form
    138,087.20/206,977.20 = 75,802.40/x
  3. Step 3: Cross multiply
    138,087.20x = 206,977.20 × 75,802.40
  4. Step 4: Simplify right side
    138,087.20x = 15,689,368,505.28
  5. Step 5: Solve for x
    x = 15,689,368,505.28/138,087.20
  6. Step 6: Final answer
    x = 113,619.28

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1.5x scale

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.