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Finding the Fourth Proportional to 189,959.40, 284,964.70 and 65,338.60

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Solution

The fourth proportional to 189,959.40, 284,964.70 and 65,338.60 is: 98,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,959.40 : 284,964.70 = 65,338.60 : x
  2. Step 2: Convert to fraction form
    189,959.40/284,964.70 = 65,338.60/x
  3. Step 3: Cross multiply
    189,959.40x = 284,964.70 × 65,338.60
  4. Step 4: Simplify right side
    189,959.40x = 18,619,194,547.42
  5. Step 5: Solve for x
    x = 18,619,194,547.42/189,959.40
  6. Step 6: Final answer
    x = 98,016.71

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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.