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Finding the Fourth Proportional to 200,703, 300,967 and 67,547.50

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Solution

The fourth proportional to 200,703, 300,967 and 67,547.50 is: 101,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,703 : 300,967 = 67,547.50 : x
  2. Step 2: Convert to fraction form
    200,703/300,967 = 67,547.50/x
  3. Step 3: Cross multiply
    200,703x = 300,967 × 67,547.50
  4. Step 4: Simplify right side
    200,703x = 20,329,568,432.50
  5. Step 5: Solve for x
    x = 20,329,568,432.50/200,703
  6. Step 6: Final answer
    x = 101,291.80

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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.