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Finding the Fourth Proportional to 76,813.20, 115,219.80 and 21,409.20

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Solution

The fourth proportional to 76,813.20, 115,219.80 and 21,409.20 is: 32,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813.20 : 115,219.80 = 21,409.20 : x
  2. Step 2: Convert to fraction form
    76,813.20/115,219.80 = 21,409.20/x
  3. Step 3: Cross multiply
    76,813.20x = 115,219.80 × 21,409.20
  4. Step 4: Simplify right side
    76,813.20x = 2,466,763,742.16
  5. Step 5: Solve for x
    x = 2,466,763,742.16/76,813.20
  6. Step 6: Final answer
    x = 32,113.80

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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.