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Finding the Fourth Proportional to 65,498.92, 98,251.74 and 18,758.68

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Solution

The fourth proportional to 65,498.92, 98,251.74 and 18,758.68 is: 28,138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.92 : 98,251.74 = 18,758.68 : x
  2. Step 2: Convert to fraction form
    65,498.92/98,251.74 = 18,758.68/x
  3. Step 3: Cross multiply
    65,498.92x = 98,251.74 × 18,758.68
  4. Step 4: Simplify right side
    65,498.92x = 1,843,072,950.10
  5. Step 5: Solve for x
    x = 1,843,072,950.10/65,498.92
  6. Step 6: Final answer
    x = 28,138.98

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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.