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Finding the Fourth Proportional to 102,041.56, 140,886.03 and 91,252.90

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Solution

The fourth proportional to 102,041.56, 140,886.03 and 91,252.90 is: 125,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,041.56 : 140,886.03 = 91,252.90 : x
  2. Step 2: Convert to fraction form
    102,041.56/140,886.03 = 91,252.90/x
  3. Step 3: Cross multiply
    102,041.56x = 140,886.03 × 91,252.90
  4. Step 4: Simplify right side
    102,041.56x = 12,856,258,806.99
  5. Step 5: Solve for x
    x = 12,856,258,806.99/102,041.56
  6. Step 6: Final answer
    x = 125,990.42

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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.