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Finding the Fourth Proportional to 76,772.40, 115,223.40 and 37,363.20

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Solution

The fourth proportional to 76,772.40, 115,223.40 and 37,363.20 is: 56,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,772.40 : 115,223.40 = 37,363.20 : x
  2. Step 2: Convert to fraction form
    76,772.40/115,223.40 = 37,363.20/x
  3. Step 3: Cross multiply
    76,772.40x = 115,223.40 × 37,363.20
  4. Step 4: Simplify right side
    76,772.40x = 4,305,114,938.88
  5. Step 5: Solve for x
    x = 4,305,114,938.88/76,772.40
  6. Step 6: Final answer
    x = 56,076.34

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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.