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Finding the Fourth Proportional to 98,109.30, 147,251.43 and 45,548.40

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Solution

The fourth proportional to 98,109.30, 147,251.43 and 45,548.40 is: 68,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,109.30 : 147,251.43 = 45,548.40 : x
  2. Step 2: Convert to fraction form
    98,109.30/147,251.43 = 45,548.40/x
  3. Step 3: Cross multiply
    98,109.30x = 147,251.43 × 45,548.40
  4. Step 4: Simplify right side
    98,109.30x = 6,707,067,034.21
  5. Step 5: Solve for x
    x = 6,707,067,034.21/98,109.30
  6. Step 6: Final answer
    x = 68,363.21

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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.