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Finding the Fourth Proportional to 159,429, 220,022 and 87,809

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Solution

The fourth proportional to 159,429, 220,022 and 87,809 is: 121,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,429 : 220,022 = 87,809 : x
  2. Step 2: Convert to fraction form
    159,429/220,022 = 87,809/x
  3. Step 3: Cross multiply
    159,429x = 220,022 × 87,809
  4. Step 4: Simplify right side
    159,429x = 19,319,911,798
  5. Step 5: Solve for x
    x = 19,319,911,798/159,429
  6. Step 6: Final answer
    x = 121,181.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.