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Finding the Fourth Proportional to 138,874.36, 191,646.56 and 75,212.16

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Solution

The fourth proportional to 138,874.36, 191,646.56 and 75,212.16 is: 103,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,874.36 : 191,646.56 = 75,212.16 : x
  2. Step 2: Convert to fraction form
    138,874.36/191,646.56 = 75,212.16/x
  3. Step 3: Cross multiply
    138,874.36x = 191,646.56 × 75,212.16
  4. Step 4: Simplify right side
    138,874.36x = 14,414,151,734.17
  5. Step 5: Solve for x
    x = 14,414,151,734.17/138,874.36
  6. Step 6: Final answer
    x = 103,792.75

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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.