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Finding the Fourth Proportional to 138,820.36, 191,572.20 and 75,158.20

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Solution

The fourth proportional to 138,820.36, 191,572.20 and 75,158.20 is: 103,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,820.36 : 191,572.20 = 75,158.20 : x
  2. Step 2: Convert to fraction form
    138,820.36/191,572.20 = 75,158.20/x
  3. Step 3: Cross multiply
    138,820.36x = 191,572.20 × 75,158.20
  4. Step 4: Simplify right side
    138,820.36x = 14,398,221,722.04
  5. Step 5: Solve for x
    x = 14,398,221,722.04/138,820.36
  6. Step 6: Final answer
    x = 103,718.37

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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.