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Finding the Fourth Proportional to 65,684.62, 98,540.77 and 21,307.91

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Solution

The fourth proportional to 65,684.62, 98,540.77 and 21,307.91 is: 31,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684.62 : 98,540.77 = 21,307.91 : x
  2. Step 2: Convert to fraction form
    65,684.62/98,540.77 = 21,307.91/x
  3. Step 3: Cross multiply
    65,684.62x = 98,540.77 × 21,307.91
  4. Step 4: Simplify right side
    65,684.62x = 2,099,697,858.49
  5. Step 5: Solve for x
    x = 2,099,697,858.49/65,684.62
  6. Step 6: Final answer
    x = 31,966.35

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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.