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Finding the Fourth Proportional to 117,864, 162,648 and 64,147.68

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Solution

The fourth proportional to 117,864, 162,648 and 64,147.68 is: 88,521.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,864 : 162,648 = 64,147.68 : x
  2. Step 2: Convert to fraction form
    117,864/162,648 = 64,147.68/x
  3. Step 3: Cross multiply
    117,864x = 162,648 × 64,147.68
  4. Step 4: Simplify right side
    117,864x = 10,433,491,856.64
  5. Step 5: Solve for x
    x = 10,433,491,856.64/117,864
  6. Step 6: Final answer
    x = 88,521.45

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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.