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Finding the Fourth Proportional to 215,702.30, 297,672.10 and 120,205.74

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Solution

The fourth proportional to 215,702.30, 297,672.10 and 120,205.74 is: 165,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,702.30 : 297,672.10 = 120,205.74 : x
  2. Step 2: Convert to fraction form
    215,702.30/297,672.10 = 120,205.74/x
  3. Step 3: Cross multiply
    215,702.30x = 297,672.10 × 120,205.74
  4. Step 4: Simplify right side
    215,702.30x = 35,781,895,057.85
  5. Step 5: Solve for x
    x = 35,781,895,057.85/215,702.30
  6. Step 6: Final answer
    x = 165,885.55

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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.