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Finding the Fourth Proportional to 189,072.50, 260,920.10 and 103,031.53

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Solution

The fourth proportional to 189,072.50, 260,920.10 and 103,031.53 is: 142,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,072.50 : 260,920.10 = 103,031.53 : x
  2. Step 2: Convert to fraction form
    189,072.50/260,920.10 = 103,031.53/x
  3. Step 3: Cross multiply
    189,072.50x = 260,920.10 × 103,031.53
  4. Step 4: Simplify right side
    189,072.50x = 26,882,996,716.03
  5. Step 5: Solve for x
    x = 26,882,996,716.03/189,072.50
  6. Step 6: Final answer
    x = 142,183.54

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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.