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Finding the Fourth Proportional to 178,142.80, 267,214.20 and 84,830.80

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Solution

The fourth proportional to 178,142.80, 267,214.20 and 84,830.80 is: 127,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,142.80 : 267,214.20 = 84,830.80 : x
  2. Step 2: Convert to fraction form
    178,142.80/267,214.20 = 84,830.80/x
  3. Step 3: Cross multiply
    178,142.80x = 267,214.20 × 84,830.80
  4. Step 4: Simplify right side
    178,142.80x = 22,667,994,357.36
  5. Step 5: Solve for x
    x = 22,667,994,357.36/178,142.80
  6. Step 6: Final answer
    x = 127,246.20

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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.