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Finding the Fourth Proportional to 178,155.36, 267,302.16 and 67,356

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Solution

The fourth proportional to 178,155.36, 267,302.16 and 67,356 is: 101,060.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,155.36 : 267,302.16 = 67,356 : x
  2. Step 2: Convert to fraction form
    178,155.36/267,302.16 = 67,356/x
  3. Step 3: Cross multiply
    178,155.36x = 267,302.16 × 67,356
  4. Step 4: Simplify right side
    178,155.36x = 18,004,404,288.96
  5. Step 5: Solve for x
    x = 18,004,404,288.96/178,155.36
  6. Step 6: Final answer
    x = 101,060.13

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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.