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Finding the Fourth Proportional to 189,882.40, 284,574.42 and 139,727.65

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Solution

The fourth proportional to 189,882.40, 284,574.42 and 139,727.65 is: 209,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,882.40 : 284,574.42 = 139,727.65 : x
  2. Step 2: Convert to fraction form
    189,882.40/284,574.42 = 139,727.65/x
  3. Step 3: Cross multiply
    189,882.40x = 284,574.42 × 139,727.65
  4. Step 4: Simplify right side
    189,882.40x = 39,762,914,956.71
  5. Step 5: Solve for x
    x = 39,762,914,956.71/189,882.40
  6. Step 6: Final answer
    x = 209,408.11

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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.