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Finding the Fourth Proportional to 217,742, 326,613 and 69,998

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Solution

The fourth proportional to 217,742, 326,613 and 69,998 is: 104,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,742 : 326,613 = 69,998 : x
  2. Step 2: Convert to fraction form
    217,742/326,613 = 69,998/x
  3. Step 3: Cross multiply
    217,742x = 326,613 × 69,998
  4. Step 4: Simplify right side
    217,742x = 22,862,256,774
  5. Step 5: Solve for x
    x = 22,862,256,774/217,742
  6. Step 6: Final answer
    x = 104,997

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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.