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Finding the Fourth Proportional to 65,642.81, 98,473.32 and 21,255.21

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Solution

The fourth proportional to 65,642.81, 98,473.32 and 21,255.21 is: 31,885.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.81 : 98,473.32 = 21,255.21 : x
  2. Step 2: Convert to fraction form
    65,642.81/98,473.32 = 21,255.21/x
  3. Step 3: Cross multiply
    65,642.81x = 98,473.32 × 21,255.21
  4. Step 4: Simplify right side
    65,642.81x = 2,093,071,096.00
  5. Step 5: Solve for x
    x = 2,093,071,096.00/65,642.81
  6. Step 6: Final answer
    x = 31,885.77

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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.