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Finding the Fourth Proportional to 78,882.16, 117,639.02 and 67,270

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Solution

The fourth proportional to 78,882.16, 117,639.02 and 67,270 is: 100,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,882.16 : 117,639.02 = 67,270 : x
  2. Step 2: Convert to fraction form
    78,882.16/117,639.02 = 67,270/x
  3. Step 3: Cross multiply
    78,882.16x = 117,639.02 × 67,270
  4. Step 4: Simplify right side
    78,882.16x = 7,913,576,875.40
  5. Step 5: Solve for x
    x = 7,913,576,875.40/78,882.16
  6. Step 6: Final answer
    x = 100,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.