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Finding the Fourth Proportional to 102,685.97, 141,647.49 and 61,821.65

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Solution

The fourth proportional to 102,685.97, 141,647.49 and 61,821.65 is: 85,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,685.97 : 141,647.49 = 61,821.65 : x
  2. Step 2: Convert to fraction form
    102,685.97/141,647.49 = 61,821.65/x
  3. Step 3: Cross multiply
    102,685.97x = 141,647.49 × 61,821.65
  4. Step 4: Simplify right side
    102,685.97x = 8,756,881,550.16
  5. Step 5: Solve for x
    x = 8,756,881,550.16/102,685.97
  6. Step 6: Final answer
    x = 85,278.27

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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.