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Finding the Fourth Proportional to 97,892, 135,079.50 and 57,596.90

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Solution

The fourth proportional to 97,892, 135,079.50 and 57,596.90 is: 79,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,892 : 135,079.50 = 57,596.90 : x
  2. Step 2: Convert to fraction form
    97,892/135,079.50 = 57,596.90/x
  3. Step 3: Cross multiply
    97,892x = 135,079.50 × 57,596.90
  4. Step 4: Simplify right side
    97,892x = 7,780,160,453.55
  5. Step 5: Solve for x
    x = 7,780,160,453.55/97,892
  6. Step 6: Final answer
    x = 79,476.98

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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.