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Finding the Fourth Proportional to 178,411.14, 267,626.79 and 78,617.94

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Solution

The fourth proportional to 178,411.14, 267,626.79 and 78,617.94 is: 117,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,411.14 : 267,626.79 = 78,617.94 : x
  2. Step 2: Convert to fraction form
    178,411.14/267,626.79 = 78,617.94/x
  3. Step 3: Cross multiply
    178,411.14x = 267,626.79 × 78,617.94
  4. Step 4: Simplify right side
    178,411.14x = 21,040,266,918.61
  5. Step 5: Solve for x
    x = 21,040,266,918.61/178,411.14
  6. Step 6: Final answer
    x = 117,931.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.