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Finding the Fourth Proportional to 149,098.74, 205,760.97 and 85,456.50

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Solution

The fourth proportional to 149,098.74, 205,760.97 and 85,456.50 is: 117,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,098.74 : 205,760.97 = 85,456.50 : x
  2. Step 2: Convert to fraction form
    149,098.74/205,760.97 = 85,456.50/x
  3. Step 3: Cross multiply
    149,098.74x = 205,760.97 × 85,456.50
  4. Step 4: Simplify right side
    149,098.74x = 17,583,612,332.81
  5. Step 5: Solve for x
    x = 17,583,612,332.81/149,098.74
  6. Step 6: Final answer
    x = 117,932.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.