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Finding the Fourth Proportional to 101,646.75, 140,272.52 and 61,902.75

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Solution

The fourth proportional to 101,646.75, 140,272.52 and 61,902.75 is: 85,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,646.75 : 140,272.52 = 61,902.75 : x
  2. Step 2: Convert to fraction form
    101,646.75/140,272.52 = 61,902.75/x
  3. Step 3: Cross multiply
    101,646.75x = 140,272.52 × 61,902.75
  4. Step 4: Simplify right side
    101,646.75x = 8,683,254,737.43
  5. Step 5: Solve for x
    x = 8,683,254,737.43/101,646.75
  6. Step 6: Final answer
    x = 85,425.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.