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Finding the Fourth Proportional to 189,339.78, 261,275.46 and 106,565.88

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Solution

The fourth proportional to 189,339.78, 261,275.46 and 106,565.88 is: 147,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,339.78 : 261,275.46 = 106,565.88 : x
  2. Step 2: Convert to fraction form
    189,339.78/261,275.46 = 106,565.88/x
  3. Step 3: Cross multiply
    189,339.78x = 261,275.46 × 106,565.88
  4. Step 4: Simplify right side
    189,339.78x = 27,843,049,317.30
  5. Step 5: Solve for x
    x = 27,843,049,317.30/189,339.78
  6. Step 6: Final answer
    x = 147,053.35

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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.