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Finding the Fourth Proportional to 231,655.68, 347,486.94 and 91,413

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Solution

The fourth proportional to 231,655.68, 347,486.94 and 91,413 is: 137,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,655.68 : 347,486.94 = 91,413 : x
  2. Step 2: Convert to fraction form
    231,655.68/347,486.94 = 91,413/x
  3. Step 3: Cross multiply
    231,655.68x = 347,486.94 × 91,413
  4. Step 4: Simplify right side
    231,655.68x = 31,764,823,646.22
  5. Step 5: Solve for x
    x = 31,764,823,646.22/231,655.68
  6. Step 6: Final answer
    x = 137,120.85

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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.