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Finding the Fourth Proportional to 159,530.50, 220,154.82 and 103,040.29

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Solution

The fourth proportional to 159,530.50, 220,154.82 and 103,040.29 is: 142,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,530.50 : 220,154.82 = 103,040.29 : x
  2. Step 2: Convert to fraction form
    159,530.50/220,154.82 = 103,040.29/x
  3. Step 3: Cross multiply
    159,530.50x = 220,154.82 × 103,040.29
  4. Step 4: Simplify right side
    159,530.50x = 22,684,816,497.70
  5. Step 5: Solve for x
    x = 22,684,816,497.70/159,530.50
  6. Step 6: Final answer
    x = 142,197.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.