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Finding the Fourth Proportional to 96,918, 145,377 and 25,840.88

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Solution

The fourth proportional to 96,918, 145,377 and 25,840.88 is: 38,761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,918 : 145,377 = 25,840.88 : x
  2. Step 2: Convert to fraction form
    96,918/145,377 = 25,840.88/x
  3. Step 3: Cross multiply
    96,918x = 145,377 × 25,840.88
  4. Step 4: Simplify right side
    96,918x = 3,756,669,611.76
  5. Step 5: Solve for x
    x = 3,756,669,611.76/96,918
  6. Step 6: Final answer
    x = 38,761.32

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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.