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Finding the Fourth Proportional to 189,898.90, 284,886.78 and 84,717.88

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Solution

The fourth proportional to 189,898.90, 284,886.78 and 84,717.88 is: 127,093.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,898.90 : 284,886.78 = 84,717.88 : x
  2. Step 2: Convert to fraction form
    189,898.90/284,886.78 = 84,717.88/x
  3. Step 3: Cross multiply
    189,898.90x = 284,886.78 × 84,717.88
  4. Step 4: Simplify right side
    189,898.90x = 24,135,004,041.63
  5. Step 5: Solve for x
    x = 24,135,004,041.63/189,898.90
  6. Step 6: Final answer
    x = 127,093.96

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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.