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Finding the Fourth Proportional to 149,215.20, 205,916.40 and 82,147.20

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Solution

The fourth proportional to 149,215.20, 205,916.40 and 82,147.20 is: 113,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,215.20 : 205,916.40 = 82,147.20 : x
  2. Step 2: Convert to fraction form
    149,215.20/205,916.40 = 82,147.20/x
  3. Step 3: Cross multiply
    149,215.20x = 205,916.40 × 82,147.20
  4. Step 4: Simplify right side
    149,215.20x = 16,915,455,694.08
  5. Step 5: Solve for x
    x = 16,915,455,694.08/149,215.20
  6. Step 6: Final answer
    x = 113,362.82

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1.5x scale

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.