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Finding the Fourth Proportional to 161,298.50, 241,765.25 and 81,209.16

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Solution

The fourth proportional to 161,298.50, 241,765.25 and 81,209.16 is: 121,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,298.50 : 241,765.25 = 81,209.16 : x
  2. Step 2: Convert to fraction form
    161,298.50/241,765.25 = 81,209.16/x
  3. Step 3: Cross multiply
    161,298.50x = 241,765.25 × 81,209.16
  4. Step 4: Simplify right side
    161,298.50x = 19,633,552,463.64
  5. Step 5: Solve for x
    x = 19,633,552,463.64/161,298.50
  6. Step 6: Final answer
    x = 121,721.86

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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.