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Finding the Fourth Proportional to 78,036.80, 117,055.20 and 21,876.80

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Solution

The fourth proportional to 78,036.80, 117,055.20 and 21,876.80 is: 32,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.80 : 117,055.20 = 21,876.80 : x
  2. Step 2: Convert to fraction form
    78,036.80/117,055.20 = 21,876.80/x
  3. Step 3: Cross multiply
    78,036.80x = 117,055.20 × 21,876.80
  4. Step 4: Simplify right side
    78,036.80x = 2,560,793,199.36
  5. Step 5: Solve for x
    x = 2,560,793,199.36/78,036.80
  6. Step 6: Final answer
    x = 32,815.20

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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.