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Finding the Fourth Proportional to 76,823.80, 115,235.70 and 21,419.80

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Solution

The fourth proportional to 76,823.80, 115,235.70 and 21,419.80 is: 32,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,823.80 : 115,235.70 = 21,419.80 : x
  2. Step 2: Convert to fraction form
    76,823.80/115,235.70 = 21,419.80/x
  3. Step 3: Cross multiply
    76,823.80x = 115,235.70 × 21,419.80
  4. Step 4: Simplify right side
    76,823.80x = 2,468,325,646.86
  5. Step 5: Solve for x
    x = 2,468,325,646.86/76,823.80
  6. Step 6: Final answer
    x = 32,129.70

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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.