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Finding the Fourth Proportional to 98,209.12, 135,523.92 and 55,762

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Solution

The fourth proportional to 98,209.12, 135,523.92 and 55,762 is: 76,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,209.12 : 135,523.92 = 55,762 : x
  2. Step 2: Convert to fraction form
    98,209.12/135,523.92 = 55,762/x
  3. Step 3: Cross multiply
    98,209.12x = 135,523.92 × 55,762
  4. Step 4: Simplify right side
    98,209.12x = 7,557,084,827.04
  5. Step 5: Solve for x
    x = 7,557,084,827.04/98,209.12
  6. Step 6: Final answer
    x = 76,948.91

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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.