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Finding the Fourth Proportional to 98,578, 136,041 and 53,868.88

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Solution

The fourth proportional to 98,578, 136,041 and 53,868.88 is: 74,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578 : 136,041 = 53,868.88 : x
  2. Step 2: Convert to fraction form
    98,578/136,041 = 53,868.88/x
  3. Step 3: Cross multiply
    98,578x = 136,041 × 53,868.88
  4. Step 4: Simplify right side
    98,578x = 7,328,376,304.08
  5. Step 5: Solve for x
    x = 7,328,376,304.08/98,578
  6. Step 6: Final answer
    x = 74,340.89

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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.