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Finding the Fourth Proportional to 199,257.76, 298,808.88 and 86,972.32

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Solution

The fourth proportional to 199,257.76, 298,808.88 and 86,972.32 is: 130,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,257.76 : 298,808.88 = 86,972.32 : x
  2. Step 2: Convert to fraction form
    199,257.76/298,808.88 = 86,972.32/x
  3. Step 3: Cross multiply
    199,257.76x = 298,808.88 × 86,972.32
  4. Step 4: Simplify right side
    199,257.76x = 25,988,101,530.20
  5. Step 5: Solve for x
    x = 25,988,101,530.20/199,257.76
  6. Step 6: Final answer
    x = 130,424.54

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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.