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Finding the Fourth Proportional to 211,589.96, 291,994.14 and 120,947.88

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Solution

The fourth proportional to 211,589.96, 291,994.14 and 120,947.88 is: 166,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,589.96 : 291,994.14 = 120,947.88 : x
  2. Step 2: Convert to fraction form
    211,589.96/291,994.14 = 120,947.88/x
  3. Step 3: Cross multiply
    211,589.96x = 291,994.14 × 120,947.88
  4. Step 4: Simplify right side
    211,589.96x = 35,316,072,205.42
  5. Step 5: Solve for x
    x = 35,316,072,205.42/211,589.96
  6. Step 6: Final answer
    x = 166,908.07

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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.