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Finding the Fourth Proportional to 159,290.25, 219,817.91 and 87,668.84

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Solution

The fourth proportional to 159,290.25, 219,817.91 and 87,668.84 is: 120,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,290.25 : 219,817.91 = 87,668.84 : x
  2. Step 2: Convert to fraction form
    159,290.25/219,817.91 = 87,668.84/x
  3. Step 3: Cross multiply
    159,290.25x = 219,817.91 × 87,668.84
  4. Step 4: Simplify right side
    159,290.25x = 19,271,179,643.49
  5. Step 5: Solve for x
    x = 19,271,179,643.49/159,290.25
  6. Step 6: Final answer
    x = 120,981.54

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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.