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Finding the Fourth Proportional to 78,971.38, 108,909.96 and 65,521.33

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Solution

The fourth proportional to 78,971.38, 108,909.96 and 65,521.33 is: 90,360.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,971.38 : 108,909.96 = 65,521.33 : x
  2. Step 2: Convert to fraction form
    78,971.38/108,909.96 = 65,521.33/x
  3. Step 3: Cross multiply
    78,971.38x = 108,909.96 × 65,521.33
  4. Step 4: Simplify right side
    78,971.38x = 7,135,925,429.45
  5. Step 5: Solve for x
    x = 7,135,925,429.45/78,971.38
  6. Step 6: Final answer
    x = 90,360.91

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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.