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Finding the Fourth Proportional to 115,221.06, 159,035.13 and 75,045.06

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Solution

The fourth proportional to 115,221.06, 159,035.13 and 75,045.06 is: 103,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,221.06 : 159,035.13 = 75,045.06 : x
  2. Step 2: Convert to fraction form
    115,221.06/159,035.13 = 75,045.06/x
  3. Step 3: Cross multiply
    115,221.06x = 159,035.13 × 75,045.06
  4. Step 4: Simplify right side
    115,221.06x = 11,934,800,872.96
  5. Step 5: Solve for x
    x = 11,934,800,872.96/115,221.06
  6. Step 6: Final answer
    x = 103,581.77

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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.