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Finding the Fourth Proportional to 199,712.80, 299,481.72 and 59,443.48

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Solution

The fourth proportional to 199,712.80, 299,481.72 and 59,443.48 is: 89,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,712.80 : 299,481.72 = 59,443.48 : x
  2. Step 2: Convert to fraction form
    199,712.80/299,481.72 = 59,443.48/x
  3. Step 3: Cross multiply
    199,712.80x = 299,481.72 × 59,443.48
  4. Step 4: Simplify right side
    199,712.80x = 17,802,235,633.19
  5. Step 5: Solve for x
    x = 17,802,235,633.19/199,712.80
  6. Step 6: Final answer
    x = 89,139.18

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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.