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Finding the Fourth Proportional to 148,931.19, 205,524.08 and 85,281.29

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Solution

The fourth proportional to 148,931.19, 205,524.08 and 85,281.29 is: 117,687.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,931.19 : 205,524.08 = 85,281.29 : x
  2. Step 2: Convert to fraction form
    148,931.19/205,524.08 = 85,281.29/x
  3. Step 3: Cross multiply
    148,931.19x = 205,524.08 × 85,281.29
  4. Step 4: Simplify right side
    148,931.19x = 17,527,359,651.72
  5. Step 5: Solve for x
    x = 17,527,359,651.72/148,931.19
  6. Step 6: Final answer
    x = 117,687.63

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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.