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Finding the Fourth Proportional to 138,158.33, 207,237.49 and 49,406.45

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Solution

The fourth proportional to 138,158.33, 207,237.49 and 49,406.45 is: 74,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.33 : 207,237.49 = 49,406.45 : x
  2. Step 2: Convert to fraction form
    138,158.33/207,237.49 = 49,406.45/x
  3. Step 3: Cross multiply
    138,158.33x = 207,237.49 × 49,406.45
  4. Step 4: Simplify right side
    138,158.33x = 10,238,867,528.11
  5. Step 5: Solve for x
    x = 10,238,867,528.11/138,158.33
  6. Step 6: Final answer
    x = 74,109.67

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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.