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Finding the Fourth Proportional to 47,299.80, 70,952.94 and 12,243

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Solution

The fourth proportional to 47,299.80, 70,952.94 and 12,243 is: 18,365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,299.80 : 70,952.94 = 12,243 : x
  2. Step 2: Convert to fraction form
    47,299.80/70,952.94 = 12,243/x
  3. Step 3: Cross multiply
    47,299.80x = 70,952.94 × 12,243
  4. Step 4: Simplify right side
    47,299.80x = 868,676,844.42
  5. Step 5: Solve for x
    x = 868,676,844.42/47,299.80
  6. Step 6: Final answer
    x = 18,365.34

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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.