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Finding the Fourth Proportional to 65,871.66, 98,823.21 and 21,498.50

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Solution

The fourth proportional to 65,871.66, 98,823.21 and 21,498.50 is: 32,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,871.66 : 98,823.21 = 21,498.50 : x
  2. Step 2: Convert to fraction form
    65,871.66/98,823.21 = 21,498.50/x
  3. Step 3: Cross multiply
    65,871.66x = 98,823.21 × 21,498.50
  4. Step 4: Simplify right side
    65,871.66x = 2,124,550,780.19
  5. Step 5: Solve for x
    x = 2,124,550,780.19/65,871.66
  6. Step 6: Final answer
    x = 32,252.88

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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.