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Finding the Fourth Proportional to 138,406.38, 191,000.81 and 74,744.18

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Solution

The fourth proportional to 138,406.38, 191,000.81 and 74,744.18 is: 103,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,406.38 : 191,000.81 = 74,744.18 : x
  2. Step 2: Convert to fraction form
    138,406.38/191,000.81 = 74,744.18/x
  3. Step 3: Cross multiply
    138,406.38x = 191,000.81 × 74,744.18
  4. Step 4: Simplify right side
    138,406.38x = 14,276,197,594.06
  5. Step 5: Solve for x
    x = 14,276,197,594.06/138,406.38
  6. Step 6: Final answer
    x = 103,146.96

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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.