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Finding the Fourth Proportional to 65,895.29, 98,831 and 18,498.73

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Solution

The fourth proportional to 65,895.29, 98,831 and 18,498.73 is: 27,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,895.29 : 98,831 = 18,498.73 : x
  2. Step 2: Convert to fraction form
    65,895.29/98,831 = 18,498.73/x
  3. Step 3: Cross multiply
    65,895.29x = 98,831 × 18,498.73
  4. Step 4: Simplify right side
    65,895.29x = 1,828,247,984.63
  5. Step 5: Solve for x
    x = 1,828,247,984.63/65,895.29
  6. Step 6: Final answer
    x = 27,744.74

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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.