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Finding the Fourth Proportional to 98,507.57, 147,821.12 and 39,338.28

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Solution

The fourth proportional to 98,507.57, 147,821.12 and 39,338.28 is: 59,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,507.57 : 147,821.12 = 39,338.28 : x
  2. Step 2: Convert to fraction form
    98,507.57/147,821.12 = 39,338.28/x
  3. Step 3: Cross multiply
    98,507.57x = 147,821.12 × 39,338.28
  4. Step 4: Simplify right side
    98,507.57x = 5,815,028,608.47
  5. Step 5: Solve for x
    x = 5,815,028,608.47/98,507.57
  6. Step 6: Final answer
    x = 59,031.29

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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.