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Finding the Fourth Proportional to 67,202.88, 92,731.32 and 40,340.40

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Solution

The fourth proportional to 67,202.88, 92,731.32 and 40,340.40 is: 55,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,202.88 : 92,731.32 = 40,340.40 : x
  2. Step 2: Convert to fraction form
    67,202.88/92,731.32 = 40,340.40/x
  3. Step 3: Cross multiply
    67,202.88x = 92,731.32 × 40,340.40
  4. Step 4: Simplify right side
    67,202.88x = 3,740,818,541.33
  5. Step 5: Solve for x
    x = 3,740,818,541.33/67,202.88
  6. Step 6: Final answer
    x = 55,664.56

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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.