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Finding the Fourth Proportional to 70,787.30, 97,684.50 and 40,165.97

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Solution

The fourth proportional to 70,787.30, 97,684.50 and 40,165.97 is: 55,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,787.30 : 97,684.50 = 40,165.97 : x
  2. Step 2: Convert to fraction form
    70,787.30/97,684.50 = 40,165.97/x
  3. Step 3: Cross multiply
    70,787.30x = 97,684.50 × 40,165.97
  4. Step 4: Simplify right side
    70,787.30x = 3,923,592,358.66
  5. Step 5: Solve for x
    x = 3,923,592,358.66/70,787.30
  6. Step 6: Final answer
    x = 55,427.92

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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.