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Finding the Fourth Proportional to 105,932.97, 145,971.97 and 98,458.90

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Solution

The fourth proportional to 105,932.97, 145,971.97 and 98,458.90 is: 135,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,932.97 : 145,971.97 = 98,458.90 : x
  2. Step 2: Convert to fraction form
    105,932.97/145,971.97 = 98,458.90/x
  3. Step 3: Cross multiply
    105,932.97x = 145,971.97 × 98,458.90
  4. Step 4: Simplify right side
    105,932.97x = 14,372,239,597.03
  5. Step 5: Solve for x
    x = 14,372,239,597.03/105,932.97
  6. Step 6: Final answer
    x = 135,672.96

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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.