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Finding the Fourth Proportional to 189,029.60, 260,872.62 and 104,146.64

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Solution

The fourth proportional to 189,029.60, 260,872.62 and 104,146.64 is: 143,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,029.60 : 260,872.62 = 104,146.64 : x
  2. Step 2: Convert to fraction form
    189,029.60/260,872.62 = 104,146.64/x
  3. Step 3: Cross multiply
    189,029.60x = 260,872.62 × 104,146.64
  4. Step 4: Simplify right side
    189,029.60x = 27,169,006,841.00
  5. Step 5: Solve for x
    x = 27,169,006,841.00/189,029.60
  6. Step 6: Final answer
    x = 143,728.85

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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.