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Finding the Fourth Proportional to 149,532.78, 206,353.78 and 85,871.04

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Solution

The fourth proportional to 149,532.78, 206,353.78 and 85,871.04 is: 118,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,532.78 : 206,353.78 = 85,871.04 : x
  2. Step 2: Convert to fraction form
    149,532.78/206,353.78 = 85,871.04/x
  3. Step 3: Cross multiply
    149,532.78x = 206,353.78 × 85,871.04
  4. Step 4: Simplify right side
    149,532.78x = 17,719,812,708.03
  5. Step 5: Solve for x
    x = 17,719,812,708.03/149,532.78
  6. Step 6: Final answer
    x = 118,501.19

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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.