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Finding the Fourth Proportional to 86,354.22, 129,365.12 and 52,976.82

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Solution

The fourth proportional to 86,354.22, 129,365.12 and 52,976.82 is: 79,363.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,354.22 : 129,365.12 = 52,976.82 : x
  2. Step 2: Convert to fraction form
    86,354.22/129,365.12 = 52,976.82/x
  3. Step 3: Cross multiply
    86,354.22x = 129,365.12 × 52,976.82
  4. Step 4: Simplify right side
    86,354.22x = 6,853,352,676.52
  5. Step 5: Solve for x
    x = 6,853,352,676.52/86,354.22
  6. Step 6: Final answer
    x = 79,363.26

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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.