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Finding the Fourth Proportional to 81,391, 122,641.10 and 66,924

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Solution

The fourth proportional to 81,391, 122,641.10 and 66,924 is: 100,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,391 : 122,641.10 = 66,924 : x
  2. Step 2: Convert to fraction form
    81,391/122,641.10 = 66,924/x
  3. Step 3: Cross multiply
    81,391x = 122,641.10 × 66,924
  4. Step 4: Simplify right side
    81,391x = 8,207,632,976.40
  5. Step 5: Solve for x
    x = 8,207,632,976.40/81,391
  6. Step 6: Final answer
    x = 100,842.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.