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Finding the Fourth Proportional to 189,872.65, 284,559.83 and 139,717.90

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Solution

The fourth proportional to 189,872.65, 284,559.83 and 139,717.90 is: 209,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,872.65 : 284,559.83 = 139,717.90 : x
  2. Step 2: Convert to fraction form
    189,872.65/284,559.83 = 139,717.90/x
  3. Step 3: Cross multiply
    189,872.65x = 284,559.83 × 139,717.90
  4. Step 4: Simplify right side
    189,872.65x = 39,758,101,871.96
  5. Step 5: Solve for x
    x = 39,758,101,871.96/189,872.65
  6. Step 6: Final answer
    x = 209,393.52

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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.