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Finding the Fourth Proportional to 140,658.26, 210,915.60 and 45,827.46

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Solution

The fourth proportional to 140,658.26, 210,915.60 and 45,827.46 is: 68,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,658.26 : 210,915.60 = 45,827.46 : x
  2. Step 2: Convert to fraction form
    140,658.26/210,915.60 = 45,827.46/x
  3. Step 3: Cross multiply
    140,658.26x = 210,915.60 × 45,827.46
  4. Step 4: Simplify right side
    140,658.26x = 9,665,726,222.38
  5. Step 5: Solve for x
    x = 9,665,726,222.38/140,658.26
  6. Step 6: Final answer
    x = 68,717.80

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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.