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Finding the Fourth Proportional to 267,647.80, 401,525.70 and 78,107.80

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Solution

The fourth proportional to 267,647.80, 401,525.70 and 78,107.80 is: 117,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,647.80 : 401,525.70 = 78,107.80 : x
  2. Step 2: Convert to fraction form
    267,647.80/401,525.70 = 78,107.80/x
  3. Step 3: Cross multiply
    267,647.80x = 401,525.70 × 78,107.80
  4. Step 4: Simplify right side
    267,647.80x = 31,362,289,070.46
  5. Step 5: Solve for x
    x = 31,362,289,070.46/267,647.80
  6. Step 6: Final answer
    x = 117,177.46

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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.