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Finding the Fourth Proportional to 70,758.56, 106,140.47 and 20,838.66

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Solution

The fourth proportional to 70,758.56, 106,140.47 and 20,838.66 is: 31,258.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758.56 : 106,140.47 = 20,838.66 : x
  2. Step 2: Convert to fraction form
    70,758.56/106,140.47 = 20,838.66/x
  3. Step 3: Cross multiply
    70,758.56x = 106,140.47 × 20,838.66
  4. Step 4: Simplify right side
    70,758.56x = 2,211,825,062.38
  5. Step 5: Solve for x
    x = 2,211,825,062.38/70,758.56
  6. Step 6: Final answer
    x = 31,258.77

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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.