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Finding the Fourth Proportional to 189,874.50, 284,874.15 and 77,649.12

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Solution

The fourth proportional to 189,874.50, 284,874.15 and 77,649.12 is: 116,499.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,874.50 : 284,874.15 = 77,649.12 : x
  2. Step 2: Convert to fraction form
    189,874.50/284,874.15 = 77,649.12/x
  3. Step 3: Cross multiply
    189,874.50x = 284,874.15 × 77,649.12
  4. Step 4: Simplify right side
    189,874.50x = 22,120,227,058.25
  5. Step 5: Solve for x
    x = 22,120,227,058.25/189,874.50
  6. Step 6: Final answer
    x = 116,499.20

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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.