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Finding the Fourth Proportional to 138,769.50, 191,506.58 and 85,044.16

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Solution

The fourth proportional to 138,769.50, 191,506.58 and 85,044.16 is: 117,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.50 : 191,506.58 = 85,044.16 : x
  2. Step 2: Convert to fraction form
    138,769.50/191,506.58 = 85,044.16/x
  3. Step 3: Cross multiply
    138,769.50x = 191,506.58 × 85,044.16
  4. Step 4: Simplify right side
    138,769.50x = 16,286,516,363.65
  5. Step 5: Solve for x
    x = 16,286,516,363.65/138,769.50
  6. Step 6: Final answer
    x = 117,363.80

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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.