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Finding the Fourth Proportional to 100,291.50, 138,322.58 and 85,234.01

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Solution

The fourth proportional to 100,291.50, 138,322.58 and 85,234.01 is: 117,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,291.50 : 138,322.58 = 85,234.01 : x
  2. Step 2: Convert to fraction form
    100,291.50/138,322.58 = 85,234.01/x
  3. Step 3: Cross multiply
    100,291.50x = 138,322.58 × 85,234.01
  4. Step 4: Simplify right side
    100,291.50x = 11,789,787,049.16
  5. Step 5: Solve for x
    x = 11,789,787,049.16/100,291.50
  6. Step 6: Final answer
    x = 117,555.20

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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.