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Finding the Fourth Proportional to 65,354.69, 98,044.80 and 20,978.03

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Solution

The fourth proportional to 65,354.69, 98,044.80 and 20,978.03 is: 31,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.69 : 98,044.80 = 20,978.03 : x
  2. Step 2: Convert to fraction form
    65,354.69/98,044.80 = 20,978.03/x
  3. Step 3: Cross multiply
    65,354.69x = 98,044.80 × 20,978.03
  4. Step 4: Simplify right side
    65,354.69x = 2,056,786,755.74
  5. Step 5: Solve for x
    x = 2,056,786,755.74/65,354.69
  6. Step 6: Final answer
    x = 31,471.14

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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.