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Finding the Fourth Proportional to 243,763.97, 365,580.34 and 85,971.92

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Solution

The fourth proportional to 243,763.97, 365,580.34 and 85,971.92 is: 128,934.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,763.97 : 365,580.34 = 85,971.92 : x
  2. Step 2: Convert to fraction form
    243,763.97/365,580.34 = 85,971.92/x
  3. Step 3: Cross multiply
    243,763.97x = 365,580.34 × 85,971.92
  4. Step 4: Simplify right side
    243,763.97x = 31,429,643,744.05
  5. Step 5: Solve for x
    x = 31,429,643,744.05/243,763.97
  6. Step 6: Final answer
    x = 128,934.74

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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.