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Finding the Fourth Proportional to 76,827.60, 115,241.20 and 21,423.60

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Solution

The fourth proportional to 76,827.60, 115,241.20 and 21,423.60 is: 32,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,827.60 : 115,241.20 = 21,423.60 : x
  2. Step 2: Convert to fraction form
    76,827.60/115,241.20 = 21,423.60/x
  3. Step 3: Cross multiply
    76,827.60x = 115,241.20 × 21,423.60
  4. Step 4: Simplify right side
    76,827.60x = 2,468,881,372.32
  5. Step 5: Solve for x
    x = 2,468,881,372.32/76,827.60
  6. Step 6: Final answer
    x = 32,135.34

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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.