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Finding the Fourth Proportional to 219,138.80, 328,837.80 and 78,879.20

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Solution

The fourth proportional to 219,138.80, 328,837.80 and 78,879.20 is: 118,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,138.80 : 328,837.80 = 78,879.20 : x
  2. Step 2: Convert to fraction form
    219,138.80/328,837.80 = 78,879.20/x
  3. Step 3: Cross multiply
    219,138.80x = 328,837.80 × 78,879.20
  4. Step 4: Simplify right side
    219,138.80x = 25,938,462,593.76
  5. Step 5: Solve for x
    x = 25,938,462,593.76/219,138.80
  6. Step 6: Final answer
    x = 118,365.45

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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.