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Finding the Fourth Proportional to 117,438, 162,064.56 and 67,138.08

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Solution

The fourth proportional to 117,438, 162,064.56 and 67,138.08 is: 92,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,438 : 162,064.56 = 67,138.08 : x
  2. Step 2: Convert to fraction form
    117,438/162,064.56 = 67,138.08/x
  3. Step 3: Cross multiply
    117,438x = 162,064.56 × 67,138.08
  4. Step 4: Simplify right side
    117,438x = 10,880,703,394.44
  5. Step 5: Solve for x
    x = 10,880,703,394.44/117,438
  6. Step 6: Final answer
    x = 92,650.62

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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.