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Finding the Fourth Proportional to 148,847.65, 205,410 and 80,864.89

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Solution

The fourth proportional to 148,847.65, 205,410 and 80,864.89 is: 111,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,847.65 : 205,410 = 80,864.89 : x
  2. Step 2: Convert to fraction form
    148,847.65/205,410 = 80,864.89/x
  3. Step 3: Cross multiply
    148,847.65x = 205,410 × 80,864.89
  4. Step 4: Simplify right side
    148,847.65x = 16,610,457,054.90
  5. Step 5: Solve for x
    x = 16,610,457,054.90/148,847.65
  6. Step 6: Final answer
    x = 111,593.68

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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.