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Finding the Fourth Proportional to 211,524, 291,897.78 and 120,874.20

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Solution

The fourth proportional to 211,524, 291,897.78 and 120,874.20 is: 166,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,524 : 291,897.78 = 120,874.20 : x
  2. Step 2: Convert to fraction form
    211,524/291,897.78 = 120,874.20/x
  3. Step 3: Cross multiply
    211,524x = 291,897.78 × 120,874.20
  4. Step 4: Simplify right side
    211,524x = 35,282,910,639.28
  5. Step 5: Solve for x
    x = 35,282,910,639.28/211,524
  6. Step 6: Final answer
    x = 166,803.34

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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.