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Finding the Fourth Proportional to 189,882.64, 284,867.04 and 101,089.36

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Solution

The fourth proportional to 189,882.64, 284,867.04 and 101,089.36 is: 151,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,882.64 : 284,867.04 = 101,089.36 : x
  2. Step 2: Convert to fraction form
    189,882.64/284,867.04 = 101,089.36/x
  3. Step 3: Cross multiply
    189,882.64x = 284,867.04 × 101,089.36
  4. Step 4: Simplify right side
    189,882.64x = 28,797,026,758.69
  5. Step 5: Solve for x
    x = 28,797,026,758.69/189,882.64
  6. Step 6: Final answer
    x = 151,656.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.