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Finding the Fourth Proportional to 47,802.24, 71,701.74 and 18,219

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Solution

The fourth proportional to 47,802.24, 71,701.74 and 18,219 is: 27,327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.24 : 71,701.74 = 18,219 : x
  2. Step 2: Convert to fraction form
    47,802.24/71,701.74 = 18,219/x
  3. Step 3: Cross multiply
    47,802.24x = 71,701.74 × 18,219
  4. Step 4: Simplify right side
    47,802.24x = 1,306,334,001.06
  5. Step 5: Solve for x
    x = 1,306,334,001.06/47,802.24
  6. Step 6: Final answer
    x = 27,327.88

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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.