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Finding the Fourth Proportional to 113,456.64, 171,034.40 and 105,844.80

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Solution

The fourth proportional to 113,456.64, 171,034.40 and 105,844.80 is: 159,559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,456.64 : 171,034.40 = 105,844.80 : x
  2. Step 2: Convert to fraction form
    113,456.64/171,034.40 = 105,844.80/x
  3. Step 3: Cross multiply
    113,456.64x = 171,034.40 × 105,844.80
  4. Step 4: Simplify right side
    113,456.64x = 18,103,101,861.12
  5. Step 5: Solve for x
    x = 18,103,101,861.12/113,456.64
  6. Step 6: Final answer
    x = 159,559.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.