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Finding the Fourth Proportional to 99,758.92, 149,509.02 and 40,525.80

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Solution

The fourth proportional to 99,758.92, 149,509.02 and 40,525.80 is: 60,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,758.92 : 149,509.02 = 40,525.80 : x
  2. Step 2: Convert to fraction form
    99,758.92/149,509.02 = 40,525.80/x
  3. Step 3: Cross multiply
    99,758.92x = 149,509.02 × 40,525.80
  4. Step 4: Simplify right side
    99,758.92x = 6,058,972,642.72
  5. Step 5: Solve for x
    x = 6,058,972,642.72/99,758.92
  6. Step 6: Final answer
    x = 60,736.15

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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.