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Finding the Fourth Proportional to 267,172, 368,697.36 and 147,940

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Solution

The fourth proportional to 267,172, 368,697.36 and 147,940 is: 204,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,172 : 368,697.36 = 147,940 : x
  2. Step 2: Convert to fraction form
    267,172/368,697.36 = 147,940/x
  3. Step 3: Cross multiply
    267,172x = 368,697.36 × 147,940
  4. Step 4: Simplify right side
    267,172x = 54,545,087,438.40
  5. Step 5: Solve for x
    x = 54,545,087,438.40/267,172
  6. Step 6: Final answer
    x = 204,157.20

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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.