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Finding the Fourth Proportional to 47,850, 71,792.32 and 15,018

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Solution

The fourth proportional to 47,850, 71,792.32 and 15,018 is: 22,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,850 : 71,792.32 = 15,018 : x
  2. Step 2: Convert to fraction form
    47,850/71,792.32 = 15,018/x
  3. Step 3: Cross multiply
    47,850x = 71,792.32 × 15,018
  4. Step 4: Simplify right side
    47,850x = 1,078,177,061.76
  5. Step 5: Solve for x
    x = 1,078,177,061.76/47,850
  6. Step 6: Final answer
    x = 22,532.44

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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.