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Finding the Fourth Proportional to 148,872.91, 205,453.80 and 85,209.25

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Solution

The fourth proportional to 148,872.91, 205,453.80 and 85,209.25 is: 117,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,872.91 : 205,453.80 = 85,209.25 : x
  2. Step 2: Convert to fraction form
    148,872.91/205,453.80 = 85,209.25/x
  3. Step 3: Cross multiply
    148,872.91x = 205,453.80 × 85,209.25
  4. Step 4: Simplify right side
    148,872.91x = 17,506,562,754.33
  5. Step 5: Solve for x
    x = 17,506,562,754.33/148,872.91
  6. Step 6: Final answer
    x = 117,594.02

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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.