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Finding the Fourth Proportional to 76,841.78, 106,004.05 and 51,354.46

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Solution

The fourth proportional to 76,841.78, 106,004.05 and 51,354.46 is: 70,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,841.78 : 106,004.05 = 51,354.46 : x
  2. Step 2: Convert to fraction form
    76,841.78/106,004.05 = 51,354.46/x
  3. Step 3: Cross multiply
    76,841.78x = 106,004.05 × 51,354.46
  4. Step 4: Simplify right side
    76,841.78x = 5,443,780,745.56
  5. Step 5: Solve for x
    x = 5,443,780,745.56/76,841.78
  6. Step 6: Final answer
    x = 70,844.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.