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Finding the Fourth Proportional to 65,691.78, 98,512.11 and 21,307.80

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Solution

The fourth proportional to 65,691.78, 98,512.11 and 21,307.80 is: 31,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.78 : 98,512.11 = 21,307.80 : x
  2. Step 2: Convert to fraction form
    65,691.78/98,512.11 = 21,307.80/x
  3. Step 3: Cross multiply
    65,691.78x = 98,512.11 × 21,307.80
  4. Step 4: Simplify right side
    65,691.78x = 2,099,076,337.46
  5. Step 5: Solve for x
    x = 2,099,076,337.46/65,691.78
  6. Step 6: Final answer
    x = 31,953.41

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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.