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Finding the Fourth Proportional to 231,813.68, 347,774.76 and 71,881.20

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Solution

The fourth proportional to 231,813.68, 347,774.76 and 71,881.20 is: 107,838.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,813.68 : 347,774.76 = 71,881.20 : x
  2. Step 2: Convert to fraction form
    231,813.68/347,774.76 = 71,881.20/x
  3. Step 3: Cross multiply
    231,813.68x = 347,774.76 × 71,881.20
  4. Step 4: Simplify right side
    231,813.68x = 24,998,467,078.51
  5. Step 5: Solve for x
    x = 24,998,467,078.51/231,813.68
  6. Step 6: Final answer
    x = 107,838.62

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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.