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Finding the Fourth Proportional to 65,870.46, 98,815.20 and 21,486.24

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Solution

The fourth proportional to 65,870.46, 98,815.20 and 21,486.24 is: 32,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,870.46 : 98,815.20 = 21,486.24 : x
  2. Step 2: Convert to fraction form
    65,870.46/98,815.20 = 21,486.24/x
  3. Step 3: Cross multiply
    65,870.46x = 98,815.20 × 21,486.24
  4. Step 4: Simplify right side
    65,870.46x = 2,123,167,102.85
  5. Step 5: Solve for x
    x = 2,123,167,102.85/65,870.46
  6. Step 6: Final answer
    x = 32,232.46

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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.