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Finding the Fourth Proportional to 189,952.89, 262,123.45 and 103,895.65

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Solution

The fourth proportional to 189,952.89, 262,123.45 and 103,895.65 is: 143,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,952.89 : 262,123.45 = 103,895.65 : x
  2. Step 2: Convert to fraction form
    189,952.89/262,123.45 = 103,895.65/x
  3. Step 3: Cross multiply
    189,952.89x = 262,123.45 × 103,895.65
  4. Step 4: Simplify right side
    189,952.89x = 27,233,486,217.99
  5. Step 5: Solve for x
    x = 27,233,486,217.99/189,952.89
  6. Step 6: Final answer
    x = 143,369.69

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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.