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Finding the Fourth Proportional to 105,449.92, 145,557.92 and 65,194.56

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Solution

The fourth proportional to 105,449.92, 145,557.92 and 65,194.56 is: 89,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,449.92 : 145,557.92 = 65,194.56 : x
  2. Step 2: Convert to fraction form
    105,449.92/145,557.92 = 65,194.56/x
  3. Step 3: Cross multiply
    105,449.92x = 145,557.92 × 65,194.56
  4. Step 4: Simplify right side
    105,449.92x = 9,489,584,548.92
  5. Step 5: Solve for x
    x = 9,489,584,548.92/105,449.92
  6. Step 6: Final answer
    x = 89,991.39

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1.5x scale

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.