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Finding the Fourth Proportional to 113,827.80, 170,882.10 and 71,707.80

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Solution

The fourth proportional to 113,827.80, 170,882.10 and 71,707.80 is: 107,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,827.80 : 170,882.10 = 71,707.80 : x
  2. Step 2: Convert to fraction form
    113,827.80/170,882.10 = 71,707.80/x
  3. Step 3: Cross multiply
    113,827.80x = 170,882.10 × 71,707.80
  4. Step 4: Simplify right side
    113,827.80x = 12,253,579,450.38
  5. Step 5: Solve for x
    x = 12,253,579,450.38/113,827.80
  6. Step 6: Final answer
    x = 107,650.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.