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Finding the Fourth Proportional to 159,855.84, 220,562.40 and 102,468.96

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Solution

The fourth proportional to 159,855.84, 220,562.40 and 102,468.96 is: 141,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,855.84 : 220,562.40 = 102,468.96 : x
  2. Step 2: Convert to fraction form
    159,855.84/220,562.40 = 102,468.96/x
  3. Step 3: Cross multiply
    159,855.84x = 220,562.40 × 102,468.96
  4. Step 4: Simplify right side
    159,855.84x = 22,600,799,743.10
  5. Step 5: Solve for x
    x = 22,600,799,743.10/159,855.84
  6. Step 6: Final answer
    x = 141,382.38

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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.