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Finding the Fourth Proportional to 113,722.40, 170,228.62 and 83,770.40

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Solution

The fourth proportional to 113,722.40, 170,228.62 and 83,770.40 is: 125,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,722.40 : 170,228.62 = 83,770.40 : x
  2. Step 2: Convert to fraction form
    113,722.40/170,228.62 = 83,770.40/x
  3. Step 3: Cross multiply
    113,722.40x = 170,228.62 × 83,770.40
  4. Step 4: Simplify right side
    113,722.40x = 14,260,120,119.13
  5. Step 5: Solve for x
    x = 14,260,120,119.13/113,722.40
  6. Step 6: Final answer
    x = 125,394.12

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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.