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Finding the Fourth Proportional to 137,258.64, 205,885.80 and 43,763.76

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Solution

The fourth proportional to 137,258.64, 205,885.80 and 43,763.76 is: 65,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,258.64 : 205,885.80 = 43,763.76 : x
  2. Step 2: Convert to fraction form
    137,258.64/205,885.80 = 43,763.76/x
  3. Step 3: Cross multiply
    137,258.64x = 205,885.80 × 43,763.76
  4. Step 4: Simplify right side
    137,258.64x = 9,010,336,738.61
  5. Step 5: Solve for x
    x = 9,010,336,738.61/137,258.64
  6. Step 6: Final answer
    x = 65,644.95

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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.