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Finding the Fourth Proportional to 65,685.82, 98,528.67 and 21,312.57

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Solution

The fourth proportional to 65,685.82, 98,528.67 and 21,312.57 is: 31,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,685.82 : 98,528.67 = 21,312.57 : x
  2. Step 2: Convert to fraction form
    65,685.82/98,528.67 = 21,312.57/x
  3. Step 3: Cross multiply
    65,685.82x = 98,528.67 × 21,312.57
  4. Step 4: Simplify right side
    65,685.82x = 2,099,898,991.64
  5. Step 5: Solve for x
    x = 2,099,898,991.64/65,685.82
  6. Step 6: Final answer
    x = 31,968.83

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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.