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Finding the Fourth Proportional to 215,795, 297,793.68 and 120,307.52

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Solution

The fourth proportional to 215,795, 297,793.68 and 120,307.52 is: 166,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,795 : 297,793.68 = 120,307.52 : x
  2. Step 2: Convert to fraction form
    215,795/297,793.68 = 120,307.52/x
  3. Step 3: Cross multiply
    215,795x = 297,793.68 × 120,307.52
  4. Step 4: Simplify right side
    215,795x = 35,826,819,112.47
  5. Step 5: Solve for x
    x = 35,826,819,112.47/215,795
  6. Step 6: Final answer
    x = 166,022.47

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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.