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Finding the Fourth Proportional to 141,082.98, 194,693.94 and 77,421.84

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Solution

The fourth proportional to 141,082.98, 194,693.94 and 77,421.84 is: 106,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,082.98 : 194,693.94 = 77,421.84 : x
  2. Step 2: Convert to fraction form
    141,082.98/194,693.94 = 77,421.84/x
  3. Step 3: Cross multiply
    141,082.98x = 194,693.94 × 77,421.84
  4. Step 4: Simplify right side
    141,082.98x = 15,073,563,071.65
  5. Step 5: Solve for x
    x = 15,073,563,071.65/141,082.98
  6. Step 6: Final answer
    x = 106,841.83

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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.