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Finding the Fourth Proportional to 169,189.50, 253,742.67 and 74,443.50

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Solution

The fourth proportional to 169,189.50, 253,742.67 and 74,443.50 is: 111,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,189.50 : 253,742.67 = 74,443.50 : x
  2. Step 2: Convert to fraction form
    169,189.50/253,742.67 = 74,443.50/x
  3. Step 3: Cross multiply
    169,189.50x = 253,742.67 × 74,443.50
  4. Step 4: Simplify right side
    169,189.50x = 18,889,492,454.15
  5. Step 5: Solve for x
    x = 18,889,492,454.15/169,189.50
  6. Step 6: Final answer
    x = 111,646.95

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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.