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Finding the Fourth Proportional to 98,115.70, 147,101.55 and 38,922.10

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Solution

The fourth proportional to 98,115.70, 147,101.55 and 38,922.10 is: 58,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,115.70 : 147,101.55 = 38,922.10 : x
  2. Step 2: Convert to fraction form
    98,115.70/147,101.55 = 38,922.10/x
  3. Step 3: Cross multiply
    98,115.70x = 147,101.55 × 38,922.10
  4. Step 4: Simplify right side
    98,115.70x = 5,725,501,239.26
  5. Step 5: Solve for x
    x = 5,725,501,239.26/98,115.70
  6. Step 6: Final answer
    x = 58,354.59

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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.