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Finding the Fourth Proportional to 137,987.64, 206,785.44 and 106,277.76

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Solution

The fourth proportional to 137,987.64, 206,785.44 and 106,277.76 is: 159,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,987.64 : 206,785.44 = 106,277.76 : x
  2. Step 2: Convert to fraction form
    137,987.64/206,785.44 = 106,277.76/x
  3. Step 3: Cross multiply
    137,987.64x = 206,785.44 × 106,277.76
  4. Step 4: Simplify right side
    137,987.64x = 21,976,693,363.81
  5. Step 5: Solve for x
    x = 21,976,693,363.81/137,987.64
  6. Step 6: Final answer
    x = 159,265.67

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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.