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Finding the Fourth Proportional to 65,144.66, 97,683.98 and 31,814.78

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Solution

The fourth proportional to 65,144.66, 97,683.98 and 31,814.78 is: 47,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,144.66 : 97,683.98 = 31,814.78 : x
  2. Step 2: Convert to fraction form
    65,144.66/97,683.98 = 31,814.78/x
  3. Step 3: Cross multiply
    65,144.66x = 97,683.98 × 31,814.78
  4. Step 4: Simplify right side
    65,144.66x = 3,107,793,685.73
  5. Step 5: Solve for x
    x = 3,107,793,685.73/65,144.66
  6. Step 6: Final answer
    x = 47,706.04

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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.