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Finding the Fourth Proportional to 189,940.10, 284,805 and 77,699.18

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Solution

The fourth proportional to 189,940.10, 284,805 and 77,699.18 is: 116,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,940.10 : 284,805 = 77,699.18 : x
  2. Step 2: Convert to fraction form
    189,940.10/284,805 = 77,699.18/x
  3. Step 3: Cross multiply
    189,940.10x = 284,805 × 77,699.18
  4. Step 4: Simplify right side
    189,940.10x = 22,129,114,959.90
  5. Step 5: Solve for x
    x = 22,129,114,959.90/189,940.10
  6. Step 6: Final answer
    x = 116,505.76

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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.