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Finding the Fourth Proportional to 73,883, 110,824.50 and 18,479

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Solution

The fourth proportional to 73,883, 110,824.50 and 18,479 is: 27,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,883 : 110,824.50 = 18,479 : x
  2. Step 2: Convert to fraction form
    73,883/110,824.50 = 18,479/x
  3. Step 3: Cross multiply
    73,883x = 110,824.50 × 18,479
  4. Step 4: Simplify right side
    73,883x = 2,047,925,935.50
  5. Step 5: Solve for x
    x = 2,047,925,935.50/73,883
  6. Step 6: Final answer
    x = 27,718.50

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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.