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Finding the Fourth Proportional to 189,874.87, 284,874.71 and 77,649.50

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Solution

The fourth proportional to 189,874.87, 284,874.71 and 77,649.50 is: 116,499.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874.87 : 284,874.71 = 77,649.50 : x
  2. Step 2: Convert to fraction form
    189,874.87/284,874.71 = 77,649.50/x
  3. Step 3: Cross multiply
    189,874.87x = 284,874.71 × 77,649.50
  4. Step 4: Simplify right side
    189,874.87x = 22,120,379,118.08
  5. Step 5: Solve for x
    x = 22,120,379,118.08/189,874.87
  6. Step 6: Final answer
    x = 116,499.77

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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.