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Finding the Fourth Proportional to 231,213.97, 346,827.12 and 81,420.22

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Solution

The fourth proportional to 231,213.97, 346,827.12 and 81,420.22 is: 122,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,213.97 : 346,827.12 = 81,420.22 : x
  2. Step 2: Convert to fraction form
    231,213.97/346,827.12 = 81,420.22/x
  3. Step 3: Cross multiply
    231,213.97x = 346,827.12 × 81,420.22
  4. Step 4: Simplify right side
    231,213.97x = 28,238,740,412.37
  5. Step 5: Solve for x
    x = 28,238,740,412.37/231,213.97
  6. Step 6: Final answer
    x = 122,132.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.