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Finding the Fourth Proportional to 105,363.67, 145,361.23 and 65,007.44

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Solution

The fourth proportional to 105,363.67, 145,361.23 and 65,007.44 is: 89,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,363.67 : 145,361.23 = 65,007.44 : x
  2. Step 2: Convert to fraction form
    105,363.67/145,361.23 = 65,007.44/x
  3. Step 3: Cross multiply
    105,363.67x = 145,361.23 × 65,007.44
  4. Step 4: Simplify right side
    105,363.67x = 9,449,561,437.55
  5. Step 5: Solve for x
    x = 9,449,561,437.55/105,363.67
  6. Step 6: Final answer
    x = 89,685.20

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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.