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Finding the Fourth Proportional to 98,704.36, 147,987.42 and 36,358.12

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Solution

The fourth proportional to 98,704.36, 147,987.42 and 36,358.12 is: 54,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,704.36 : 147,987.42 = 36,358.12 : x
  2. Step 2: Convert to fraction form
    98,704.36/147,987.42 = 36,358.12/x
  3. Step 3: Cross multiply
    98,704.36x = 147,987.42 × 36,358.12
  4. Step 4: Simplify right side
    98,704.36x = 5,380,544,374.85
  5. Step 5: Solve for x
    x = 5,380,544,374.85/98,704.36
  6. Step 6: Final answer
    x = 54,511.72

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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.