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Finding the Fourth Proportional to 76,446.40, 114,572.40 and 68,087.20

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Solution

The fourth proportional to 76,446.40, 114,572.40 and 68,087.20 is: 102,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,446.40 : 114,572.40 = 68,087.20 : x
  2. Step 2: Convert to fraction form
    76,446.40/114,572.40 = 68,087.20/x
  3. Step 3: Cross multiply
    76,446.40x = 114,572.40 × 68,087.20
  4. Step 4: Simplify right side
    76,446.40x = 7,800,913,913.28
  5. Step 5: Solve for x
    x = 7,800,913,913.28/76,446.40
  6. Step 6: Final answer
    x = 102,044.23

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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.