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Finding the Fourth Proportional to 148,871.90, 205,452.42 and 85,208.24

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Solution

The fourth proportional to 148,871.90, 205,452.42 and 85,208.24 is: 117,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,871.90 : 205,452.42 = 85,208.24 : x
  2. Step 2: Convert to fraction form
    148,871.90/205,452.42 = 85,208.24/x
  3. Step 3: Cross multiply
    148,871.90x = 205,452.42 × 85,208.24
  4. Step 4: Simplify right side
    148,871.90x = 17,506,239,306.04
  5. Step 5: Solve for x
    x = 17,506,239,306.04/148,871.90
  6. Step 6: Final answer
    x = 117,592.64

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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.