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Finding the Fourth Proportional to 49,502.11, 74,290.07 and 19,920.21

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Solution

The fourth proportional to 49,502.11, 74,290.07 and 19,920.21 is: 29,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502.11 : 74,290.07 = 19,920.21 : x
  2. Step 2: Convert to fraction form
    49,502.11/74,290.07 = 19,920.21/x
  3. Step 3: Cross multiply
    49,502.11x = 74,290.07 × 19,920.21
  4. Step 4: Simplify right side
    49,502.11x = 1,479,873,795.31
  5. Step 5: Solve for x
    x = 1,479,873,795.31/49,502.11
  6. Step 6: Final answer
    x = 29,895.17

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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.