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Finding the Fourth Proportional to 76,878.38, 106,092.18 and 43,344.38

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Solution

The fourth proportional to 76,878.38, 106,092.18 and 43,344.38 is: 59,815.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,878.38 : 106,092.18 = 43,344.38 : x
  2. Step 2: Convert to fraction form
    76,878.38/106,092.18 = 43,344.38/x
  3. Step 3: Cross multiply
    76,878.38x = 106,092.18 × 43,344.38
  4. Step 4: Simplify right side
    76,878.38x = 4,598,499,234.49
  5. Step 5: Solve for x
    x = 4,598,499,234.49/76,878.38
  6. Step 6: Final answer
    x = 59,815.25

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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.