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Finding the Fourth Proportional to 68,138, 94,031.88 and 38,330

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Solution

The fourth proportional to 68,138, 94,031.88 and 38,330 is: 52,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138 : 94,031.88 = 38,330 : x
  2. Step 2: Convert to fraction form
    68,138/94,031.88 = 38,330/x
  3. Step 3: Cross multiply
    68,138x = 94,031.88 × 38,330
  4. Step 4: Simplify right side
    68,138x = 3,604,241,960.40
  5. Step 5: Solve for x
    x = 3,604,241,960.40/68,138
  6. Step 6: Final answer
    x = 52,896.21

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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.