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Finding the Fourth Proportional to 71,770.16, 107,540.43 and 61,206.95

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Solution

The fourth proportional to 71,770.16, 107,540.43 and 61,206.95 is: 91,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.16 : 107,540.43 = 61,206.95 : x
  2. Step 2: Convert to fraction form
    71,770.16/107,540.43 = 61,206.95/x
  3. Step 3: Cross multiply
    71,770.16x = 107,540.43 × 61,206.95
  4. Step 4: Simplify right side
    71,770.16x = 6,582,222,041.65
  5. Step 5: Solve for x
    x = 6,582,222,041.65/71,770.16
  6. Step 6: Final answer
    x = 91,712.51

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Why These Related Problems?

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