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Finding the Fourth Proportional to 76,705.20, 115,057.80 and 21,301.20

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Solution

The fourth proportional to 76,705.20, 115,057.80 and 21,301.20 is: 31,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,705.20 : 115,057.80 = 21,301.20 : x
  2. Step 2: Convert to fraction form
    76,705.20/115,057.80 = 21,301.20/x
  3. Step 3: Cross multiply
    76,705.20x = 115,057.80 × 21,301.20
  4. Step 4: Simplify right side
    76,705.20x = 2,450,869,209.36
  5. Step 5: Solve for x
    x = 2,450,869,209.36/76,705.20
  6. Step 6: Final answer
    x = 31,951.80

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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.