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Finding the Fourth Proportional to 189,816.81, 284,724.99 and 77,549.82

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Solution

The fourth proportional to 189,816.81, 284,724.99 and 77,549.82 is: 116,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,816.81 : 284,724.99 = 77,549.82 : x
  2. Step 2: Convert to fraction form
    189,816.81/284,724.99 = 77,549.82/x
  3. Step 3: Cross multiply
    189,816.81x = 284,724.99 × 77,549.82
  4. Step 4: Simplify right side
    189,816.81x = 22,080,371,724.00
  5. Step 5: Solve for x
    x = 22,080,371,724.00/189,816.81
  6. Step 6: Final answer
    x = 116,324.64

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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.