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Finding the Fourth Proportional to 189,754.65, 284,350.50 and 77,297.49

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Solution

The fourth proportional to 189,754.65, 284,350.50 and 77,297.49 is: 115,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754.65 : 284,350.50 = 77,297.49 : x
  2. Step 2: Convert to fraction form
    189,754.65/284,350.50 = 77,297.49/x
  3. Step 3: Cross multiply
    189,754.65x = 284,350.50 × 77,297.49
  4. Step 4: Simplify right side
    189,754.65x = 21,979,579,930.25
  5. Step 5: Solve for x
    x = 21,979,579,930.25/189,754.65
  6. Step 6: Final answer
    x = 115,831.57

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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.