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Finding the Fourth Proportional to 148,443.65, 204,847.25 and 87,978.40

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Solution

The fourth proportional to 148,443.65, 204,847.25 and 87,978.40 is: 121,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,443.65 : 204,847.25 = 87,978.40 : x
  2. Step 2: Convert to fraction form
    148,443.65/204,847.25 = 87,978.40/x
  3. Step 3: Cross multiply
    148,443.65x = 204,847.25 × 87,978.40
  4. Step 4: Simplify right side
    148,443.65x = 18,022,132,842.27
  5. Step 5: Solve for x
    x = 18,022,132,842.27/148,443.65
  6. Step 6: Final answer
    x = 121,407.23

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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.