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Finding the Fourth Proportional to 178,212.80, 267,189.60 and 72,977.60

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Solution

The fourth proportional to 178,212.80, 267,189.60 and 72,977.60 is: 109,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,212.80 : 267,189.60 = 72,977.60 : x
  2. Step 2: Convert to fraction form
    178,212.80/267,189.60 = 72,977.60/x
  3. Step 3: Cross multiply
    178,212.80x = 267,189.60 × 72,977.60
  4. Step 4: Simplify right side
    178,212.80x = 19,498,855,752.96
  5. Step 5: Solve for x
    x = 19,498,855,752.96/178,212.80
  6. Step 6: Final answer
    x = 109,413.33

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1.5x scale

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.