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Finding the Fourth Proportional to 98,129.80, 147,191.28 and 31,574.44

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Solution

The fourth proportional to 98,129.80, 147,191.28 and 31,574.44 is: 47,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,129.80 : 147,191.28 = 31,574.44 : x
  2. Step 2: Convert to fraction form
    98,129.80/147,191.28 = 31,574.44/x
  3. Step 3: Cross multiply
    98,129.80x = 147,191.28 × 31,574.44
  4. Step 4: Simplify right side
    98,129.80x = 4,647,482,238.88
  5. Step 5: Solve for x
    x = 4,647,482,238.88/98,129.80
  6. Step 6: Final answer
    x = 47,360.56

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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.