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Finding the Fourth Proportional to 70,817.28, 97,712.16 and 40,992

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Solution

The fourth proportional to 70,817.28, 97,712.16 and 40,992 is: 56,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.28 : 97,712.16 = 40,992 : x
  2. Step 2: Convert to fraction form
    70,817.28/97,712.16 = 40,992/x
  3. Step 3: Cross multiply
    70,817.28x = 97,712.16 × 40,992
  4. Step 4: Simplify right side
    70,817.28x = 4,005,416,862.72
  5. Step 5: Solve for x
    x = 4,005,416,862.72/70,817.28
  6. Step 6: Final answer
    x = 56,559.88

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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.