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Finding the Fourth Proportional to 215,764.32, 297,750.50 and 120,265.32

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Solution

The fourth proportional to 215,764.32, 297,750.50 and 120,265.32 is: 165,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,764.32 : 297,750.50 = 120,265.32 : x
  2. Step 2: Convert to fraction form
    215,764.32/297,750.50 = 120,265.32/x
  3. Step 3: Cross multiply
    215,764.32x = 297,750.50 × 120,265.32
  4. Step 4: Simplify right side
    215,764.32x = 35,809,059,162.66
  5. Step 5: Solve for x
    x = 35,809,059,162.66/215,764.32
  6. Step 6: Final answer
    x = 165,963.77

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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.