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Finding the Fourth Proportional to 68,078, 93,947.64 and 38,270

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Solution

The fourth proportional to 68,078, 93,947.64 and 38,270 is: 52,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,078 : 93,947.64 = 38,270 : x
  2. Step 2: Convert to fraction form
    68,078/93,947.64 = 38,270/x
  3. Step 3: Cross multiply
    68,078x = 93,947.64 × 38,270
  4. Step 4: Simplify right side
    68,078x = 3,595,376,182.80
  5. Step 5: Solve for x
    x = 3,595,376,182.80/68,078
  6. Step 6: Final answer
    x = 52,812.60

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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.