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Finding the Fourth Proportional to 65,816.42, 98,731.58 and 21,446.64

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Solution

The fourth proportional to 65,816.42, 98,731.58 and 21,446.64 is: 32,172.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.42 : 98,731.58 = 21,446.64 : x
  2. Step 2: Convert to fraction form
    65,816.42/98,731.58 = 21,446.64/x
  3. Step 3: Cross multiply
    65,816.42x = 98,731.58 × 21,446.64
  4. Step 4: Simplify right side
    65,816.42x = 2,117,460,545.66
  5. Step 5: Solve for x
    x = 2,117,460,545.66/65,816.42
  6. Step 6: Final answer
    x = 32,172.23

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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.