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Finding the Fourth Proportional to 211,410, 291,771.72 and 121,986

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Solution

The fourth proportional to 211,410, 291,771.72 and 121,986 is: 168,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,410 : 291,771.72 = 121,986 : x
  2. Step 2: Convert to fraction form
    211,410/291,771.72 = 121,986/x
  3. Step 3: Cross multiply
    211,410x = 291,771.72 × 121,986
  4. Step 4: Simplify right side
    211,410x = 35,592,065,035.92
  5. Step 5: Solve for x
    x = 35,592,065,035.92/211,410
  6. Step 6: Final answer
    x = 168,355.64

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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.