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Finding the Fourth Proportional to 99,901.96, 149,820 and 33,323.74

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Solution

The fourth proportional to 99,901.96, 149,820 and 33,323.74 is: 49,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,901.96 : 149,820 = 33,323.74 : x
  2. Step 2: Convert to fraction form
    99,901.96/149,820 = 33,323.74/x
  3. Step 3: Cross multiply
    99,901.96x = 149,820 × 33,323.74
  4. Step 4: Simplify right side
    99,901.96x = 4,992,562,726.80
  5. Step 5: Solve for x
    x = 4,992,562,726.80/99,901.96
  6. Step 6: Final answer
    x = 49,974.62

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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.