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Finding the Fourth Proportional to 189,115.68, 260,978.85 and 104,232.72

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Solution

The fourth proportional to 189,115.68, 260,978.85 and 104,232.72 is: 143,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,115.68 : 260,978.85 = 104,232.72 : x
  2. Step 2: Convert to fraction form
    189,115.68/260,978.85 = 104,232.72/x
  3. Step 3: Cross multiply
    189,115.68x = 260,978.85 × 104,232.72
  4. Step 4: Simplify right side
    189,115.68x = 27,202,535,397.97
  5. Step 5: Solve for x
    x = 27,202,535,397.97/189,115.68
  6. Step 6: Final answer
    x = 143,840.72

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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.