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Finding the Fourth Proportional to 231,860, 347,688.72 and 82,050.50

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Solution

The fourth proportional to 231,860, 347,688.72 and 82,050.50 is: 123,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,860 : 347,688.72 = 82,050.50 : x
  2. Step 2: Convert to fraction form
    231,860/347,688.72 = 82,050.50/x
  3. Step 3: Cross multiply
    231,860x = 347,688.72 × 82,050.50
  4. Step 4: Simplify right side
    231,860x = 28,528,033,320.36
  5. Step 5: Solve for x
    x = 28,528,033,320.36/231,860
  6. Step 6: Final answer
    x = 123,039.91

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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.