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Finding the Fourth Proportional to 180,251.78, 270,354.16 and 47,142.30

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Solution

The fourth proportional to 180,251.78, 270,354.16 and 47,142.30 is: 70,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,251.78 : 270,354.16 = 47,142.30 : x
  2. Step 2: Convert to fraction form
    180,251.78/270,354.16 = 47,142.30/x
  3. Step 3: Cross multiply
    180,251.78x = 270,354.16 × 47,142.30
  4. Step 4: Simplify right side
    180,251.78x = 12,745,116,916.97
  5. Step 5: Solve for x
    x = 12,745,116,916.97/180,251.78
  6. Step 6: Final answer
    x = 70,707.30

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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.