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Finding the Fourth Proportional to 138,462.44, 191,082.10 and 77,210.04

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Solution

The fourth proportional to 138,462.44, 191,082.10 and 77,210.04 is: 106,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462.44 : 191,082.10 = 77,210.04 : x
  2. Step 2: Convert to fraction form
    138,462.44/191,082.10 = 77,210.04/x
  3. Step 3: Cross multiply
    138,462.44x = 191,082.10 × 77,210.04
  4. Step 4: Simplify right side
    138,462.44x = 14,753,456,584.28
  5. Step 5: Solve for x
    x = 14,753,456,584.28/138,462.44
  6. Step 6: Final answer
    x = 106,552.05

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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.