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Finding the Fourth Proportional to 108,206.91, 149,081.13 and 75,470.04

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Solution

The fourth proportional to 108,206.91, 149,081.13 and 75,470.04 is: 103,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,206.91 : 149,081.13 = 75,470.04 : x
  2. Step 2: Convert to fraction form
    108,206.91/149,081.13 = 75,470.04/x
  3. Step 3: Cross multiply
    108,206.91x = 149,081.13 × 75,470.04
  4. Step 4: Simplify right side
    108,206.91x = 11,251,158,844.35
  5. Step 5: Solve for x
    x = 11,251,158,844.35/108,206.91
  6. Step 6: Final answer
    x = 103,978.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.