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Finding the Fourth Proportional to 65,646.64, 98,401.92 and 30,557.44

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Solution

The fourth proportional to 65,646.64, 98,401.92 and 30,557.44 is: 45,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646.64 : 98,401.92 = 30,557.44 : x
  2. Step 2: Convert to fraction form
    65,646.64/98,401.92 = 30,557.44/x
  3. Step 3: Cross multiply
    65,646.64x = 98,401.92 × 30,557.44
  4. Step 4: Simplify right side
    65,646.64x = 3,006,910,766.28
  5. Step 5: Solve for x
    x = 3,006,910,766.28/65,646.64
  6. Step 6: Final answer
    x = 45,804.49

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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.