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Finding the Fourth Proportional to 89,764.20, 134,719.20 and 86,848.20

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Solution

The fourth proportional to 89,764.20, 134,719.20 and 86,848.20 is: 130,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,764.20 : 134,719.20 = 86,848.20 : x
  2. Step 2: Convert to fraction form
    89,764.20/134,719.20 = 86,848.20/x
  3. Step 3: Cross multiply
    89,764.20x = 134,719.20 × 86,848.20
  4. Step 4: Simplify right side
    89,764.20x = 11,700,120,025.44
  5. Step 5: Solve for x
    x = 11,700,120,025.44/89,764.20
  6. Step 6: Final answer
    x = 130,342.83

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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.