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Finding the Fourth Proportional to 87,842.40, 131,763.60 and 83,541.60

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Solution

The fourth proportional to 87,842.40, 131,763.60 and 83,541.60 is: 125,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,842.40 : 131,763.60 = 83,541.60 : x
  2. Step 2: Convert to fraction form
    87,842.40/131,763.60 = 83,541.60/x
  3. Step 3: Cross multiply
    87,842.40x = 131,763.60 × 83,541.60
  4. Step 4: Simplify right side
    87,842.40x = 11,007,741,965.76
  5. Step 5: Solve for x
    x = 11,007,741,965.76/87,842.40
  6. Step 6: Final answer
    x = 125,312.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.