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Finding the Fourth Proportional to 189,087.76, 260,941.16 and 103,046.78

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Solution

The fourth proportional to 189,087.76, 260,941.16 and 103,046.78 is: 142,204.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,087.76 : 260,941.16 = 103,046.78 : x
  2. Step 2: Convert to fraction form
    189,087.76/260,941.16 = 103,046.78/x
  3. Step 3: Cross multiply
    189,087.76x = 260,941.16 × 103,046.78
  4. Step 4: Simplify right side
    189,087.76x = 26,889,147,217.43
  5. Step 5: Solve for x
    x = 26,889,147,217.43/189,087.76
  6. Step 6: Final answer
    x = 142,204.59

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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.