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Finding the Fourth Proportional to 148,757.92, 205,050 and 145,808.80

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Solution

The fourth proportional to 148,757.92, 205,050 and 145,808.80 is: 200,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,757.92 : 205,050 = 145,808.80 : x
  2. Step 2: Convert to fraction form
    148,757.92/205,050 = 145,808.80/x
  3. Step 3: Cross multiply
    148,757.92x = 205,050 × 145,808.80
  4. Step 4: Simplify right side
    148,757.92x = 29,898,094,440.00
  5. Step 5: Solve for x
    x = 29,898,094,440.00/148,757.92
  6. Step 6: Final answer
    x = 200,984.89

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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.