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Finding the Fourth Proportional to 99,806.33, 149,726.78 and 40,674.17

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Solution

The fourth proportional to 99,806.33, 149,726.78 and 40,674.17 is: 61,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,806.33 : 149,726.78 = 40,674.17 : x
  2. Step 2: Convert to fraction form
    99,806.33/149,726.78 = 40,674.17/x
  3. Step 3: Cross multiply
    99,806.33x = 149,726.78 × 40,674.17
  4. Step 4: Simplify right side
    99,806.33x = 6,090,011,551.27
  5. Step 5: Solve for x
    x = 6,090,011,551.27/99,806.33
  6. Step 6: Final answer
    x = 61,018.29

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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.