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Finding the Fourth Proportional to 99,187.76, 149,463.50 and 82,041.68

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Solution

The fourth proportional to 99,187.76, 149,463.50 and 82,041.68 is: 123,626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,187.76 : 149,463.50 = 82,041.68 : x
  2. Step 2: Convert to fraction form
    99,187.76/149,463.50 = 82,041.68/x
  3. Step 3: Cross multiply
    99,187.76x = 149,463.50 × 82,041.68
  4. Step 4: Simplify right side
    99,187.76x = 12,262,236,638.68
  5. Step 5: Solve for x
    x = 12,262,236,638.68/99,187.76
  6. Step 6: Final answer
    x = 123,626.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.