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Finding the Fourth Proportional to 98,578.46, 136,041.09 and 54,972.02

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Solution

The fourth proportional to 98,578.46, 136,041.09 and 54,972.02 is: 75,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.46 : 136,041.09 = 54,972.02 : x
  2. Step 2: Convert to fraction form
    98,578.46/136,041.09 = 54,972.02/x
  3. Step 3: Cross multiply
    98,578.46x = 136,041.09 × 54,972.02
  4. Step 4: Simplify right side
    98,578.46x = 7,478,453,520.30
  5. Step 5: Solve for x
    x = 7,478,453,520.30/98,578.46
  6. Step 6: Final answer
    x = 75,862.96

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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.