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Finding the Fourth Proportional to 211,405.74, 291,832.95 and 147,992.46

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Solution

The fourth proportional to 211,405.74, 291,832.95 and 147,992.46 is: 204,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,405.74 : 291,832.95 = 147,992.46 : x
  2. Step 2: Convert to fraction form
    211,405.74/291,832.95 = 147,992.46/x
  3. Step 3: Cross multiply
    211,405.74x = 291,832.95 × 147,992.46
  4. Step 4: Simplify right side
    211,405.74x = 43,189,076,179.56
  5. Step 5: Solve for x
    x = 43,189,076,179.56/211,405.74
  6. Step 6: Final answer
    x = 204,294.72

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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.