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Finding the Fourth Proportional to 99,807.83, 149,729.03 and 40,675.67

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Solution

The fourth proportional to 99,807.83, 149,729.03 and 40,675.67 is: 61,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,807.83 : 149,729.03 = 40,675.67 : x
  2. Step 2: Convert to fraction form
    99,807.83/149,729.03 = 40,675.67/x
  3. Step 3: Cross multiply
    99,807.83x = 149,729.03 × 40,675.67
  4. Step 4: Simplify right side
    99,807.83x = 6,090,327,661.68
  5. Step 5: Solve for x
    x = 6,090,327,661.68/99,807.83
  6. Step 6: Final answer
    x = 61,020.54

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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.