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Finding the Fourth Proportional to 65,451.78, 98,180.64 and 21,078.90

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Solution

The fourth proportional to 65,451.78, 98,180.64 and 21,078.90 is: 31,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,451.78 : 98,180.64 = 21,078.90 : x
  2. Step 2: Convert to fraction form
    65,451.78/98,180.64 = 21,078.90/x
  3. Step 3: Cross multiply
    65,451.78x = 98,180.64 × 21,078.90
  4. Step 4: Simplify right side
    65,451.78x = 2,069,539,892.50
  5. Step 5: Solve for x
    x = 2,069,539,892.50/65,451.78
  6. Step 6: Final answer
    x = 31,619.31

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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.