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Finding the Fourth Proportional to 148,909.14, 205,502.46 and 85,256.46

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Solution

The fourth proportional to 148,909.14, 205,502.46 and 85,256.46 is: 117,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,909.14 : 205,502.46 = 85,256.46 : x
  2. Step 2: Convert to fraction form
    148,909.14/205,502.46 = 85,256.46/x
  3. Step 3: Cross multiply
    148,909.14x = 205,502.46 × 85,256.46
  4. Step 4: Simplify right side
    148,909.14x = 17,520,412,260.89
  5. Step 5: Solve for x
    x = 17,520,412,260.89/148,909.14
  6. Step 6: Final answer
    x = 117,658.41

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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.