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Finding the Fourth Proportional to 109,407.42, 150,982.65 and 69,139.08

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Solution

The fourth proportional to 109,407.42, 150,982.65 and 69,139.08 is: 95,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,407.42 : 150,982.65 = 69,139.08 : x
  2. Step 2: Convert to fraction form
    109,407.42/150,982.65 = 69,139.08/x
  3. Step 3: Cross multiply
    109,407.42x = 150,982.65 × 69,139.08
  4. Step 4: Simplify right side
    109,407.42x = 10,438,801,516.96
  5. Step 5: Solve for x
    x = 10,438,801,516.96/109,407.42
  6. Step 6: Final answer
    x = 95,412.19

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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.