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Finding the Fourth Proportional to 117,922, 162,732.36 and 64,930

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Solution

The fourth proportional to 117,922, 162,732.36 and 64,930 is: 89,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,922 : 162,732.36 = 64,930 : x
  2. Step 2: Convert to fraction form
    117,922/162,732.36 = 64,930/x
  3. Step 3: Cross multiply
    117,922x = 162,732.36 × 64,930
  4. Step 4: Simplify right side
    117,922x = 10,566,212,134.80
  5. Step 5: Solve for x
    x = 10,566,212,134.80/117,922
  6. Step 6: Final answer
    x = 89,603.40

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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.