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Finding the Fourth Proportional to 207,986.70, 287,021.86 and 112,493.54

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Solution

The fourth proportional to 207,986.70, 287,021.86 and 112,493.54 is: 155,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,986.70 : 287,021.86 = 112,493.54 : x
  2. Step 2: Convert to fraction form
    207,986.70/287,021.86 = 112,493.54/x
  3. Step 3: Cross multiply
    207,986.70x = 287,021.86 × 112,493.54
  4. Step 4: Simplify right side
    207,986.70x = 32,288,105,088.78
  5. Step 5: Solve for x
    x = 32,288,105,088.78/207,986.70
  6. Step 6: Final answer
    x = 155,241.20

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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.