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Finding the Fourth Proportional to 215,694.78, 297,664.92 and 120,200.64

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Solution

The fourth proportional to 215,694.78, 297,664.92 and 120,200.64 is: 165,880.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,694.78 : 297,664.92 = 120,200.64 : x
  2. Step 2: Convert to fraction form
    215,694.78/297,664.92 = 120,200.64/x
  3. Step 3: Cross multiply
    215,694.78x = 297,664.92 × 120,200.64
  4. Step 4: Simplify right side
    215,694.78x = 35,779,513,889.55
  5. Step 5: Solve for x
    x = 35,779,513,889.55/215,694.78
  6. Step 6: Final answer
    x = 165,880.30

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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.