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Finding the Fourth Proportional to 113,842.80, 170,904.60 and 71,722.80

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Solution

The fourth proportional to 113,842.80, 170,904.60 and 71,722.80 is: 107,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,842.80 : 170,904.60 = 71,722.80 : x
  2. Step 2: Convert to fraction form
    113,842.80/170,904.60 = 71,722.80/x
  3. Step 3: Cross multiply
    113,842.80x = 170,904.60 × 71,722.80
  4. Step 4: Simplify right side
    113,842.80x = 12,257,756,444.88
  5. Step 5: Solve for x
    x = 12,257,756,444.88/113,842.80
  6. Step 6: Final answer
    x = 107,672.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.