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Finding the Fourth Proportional to 138,491.56, 191,106.30 and 81,138.70

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Solution

The fourth proportional to 138,491.56, 191,106.30 and 81,138.70 is: 111,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,491.56 : 191,106.30 = 81,138.70 : x
  2. Step 2: Convert to fraction form
    138,491.56/191,106.30 = 81,138.70/x
  3. Step 3: Cross multiply
    138,491.56x = 191,106.30 × 81,138.70
  4. Step 4: Simplify right side
    138,491.56x = 15,506,116,743.81
  5. Step 5: Solve for x
    x = 15,506,116,743.81/138,491.56
  6. Step 6: Final answer
    x = 111,964.34

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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.