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Finding the Fourth Proportional to 200,724.30, 301,086.96 and 67,698

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Solution

The fourth proportional to 200,724.30, 301,086.96 and 67,698 is: 101,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,724.30 : 301,086.96 = 67,698 : x
  2. Step 2: Convert to fraction form
    200,724.30/301,086.96 = 67,698/x
  3. Step 3: Cross multiply
    200,724.30x = 301,086.96 × 67,698
  4. Step 4: Simplify right side
    200,724.30x = 20,382,985,018.08
  5. Step 5: Solve for x
    x = 20,382,985,018.08/200,724.30
  6. Step 6: Final answer
    x = 101,547.17

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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.