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Finding the Fourth Proportional to 105,761.64, 145,892.16 and 65,449.74

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Solution

The fourth proportional to 105,761.64, 145,892.16 and 65,449.74 is: 90,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,761.64 : 145,892.16 = 65,449.74 : x
  2. Step 2: Convert to fraction form
    105,761.64/145,892.16 = 65,449.74/x
  3. Step 3: Cross multiply
    105,761.64x = 145,892.16 × 65,449.74
  4. Step 4: Simplify right side
    105,761.64x = 9,548,603,940.04
  5. Step 5: Solve for x
    x = 9,548,603,940.04/105,761.64
  6. Step 6: Final answer
    x = 90,284.19

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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.