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Finding the Fourth Proportional to 65,681.53, 90,623.82 and 40,178.56

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Solution

The fourth proportional to 65,681.53, 90,623.82 and 40,178.56 is: 55,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,681.53 : 90,623.82 = 40,178.56 : x
  2. Step 2: Convert to fraction form
    65,681.53/90,623.82 = 40,178.56/x
  3. Step 3: Cross multiply
    65,681.53x = 90,623.82 × 40,178.56
  4. Step 4: Simplify right side
    65,681.53x = 3,641,134,589.30
  5. Step 5: Solve for x
    x = 3,641,134,589.30/65,681.53
  6. Step 6: Final answer
    x = 55,436.20

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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.