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Finding the Fourth Proportional to 99,687.70, 149,531.55 and 33,138.10

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Solution

The fourth proportional to 99,687.70, 149,531.55 and 33,138.10 is: 49,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,687.70 : 149,531.55 = 33,138.10 : x
  2. Step 2: Convert to fraction form
    99,687.70/149,531.55 = 33,138.10/x
  3. Step 3: Cross multiply
    99,687.70x = 149,531.55 × 33,138.10
  4. Step 4: Simplify right side
    99,687.70x = 4,955,191,457.06
  5. Step 5: Solve for x
    x = 4,955,191,457.06/99,687.70
  6. Step 6: Final answer
    x = 49,707.15

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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.