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Finding the Fourth Proportional to 70,618.76, 105,928.31 and 17,310.98

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Solution

The fourth proportional to 70,618.76, 105,928.31 and 17,310.98 is: 25,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618.76 : 105,928.31 = 17,310.98 : x
  2. Step 2: Convert to fraction form
    70,618.76/105,928.31 = 17,310.98/x
  3. Step 3: Cross multiply
    70,618.76x = 105,928.31 × 17,310.98
  4. Step 4: Simplify right side
    70,618.76x = 1,833,722,729.23
  5. Step 5: Solve for x
    x = 1,833,722,729.23/70,618.76
  6. Step 6: Final answer
    x = 25,966.51

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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.