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Finding the Fourth Proportional to 65,157.71, 89,927.31 and 41,286.62

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Solution

The fourth proportional to 65,157.71, 89,927.31 and 41,286.62 is: 56,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.71 : 89,927.31 = 41,286.62 : x
  2. Step 2: Convert to fraction form
    65,157.71/89,927.31 = 41,286.62/x
  3. Step 3: Cross multiply
    65,157.71x = 89,927.31 × 41,286.62
  4. Step 4: Simplify right side
    65,157.71x = 3,712,794,675.59
  5. Step 5: Solve for x
    x = 3,712,794,675.59/65,157.71
  6. Step 6: Final answer
    x = 56,981.66

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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.