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Finding the Fourth Proportional to 76,865, 106,073.70 and 43,331

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Solution

The fourth proportional to 76,865, 106,073.70 and 43,331 is: 59,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,865 : 106,073.70 = 43,331 : x
  2. Step 2: Convert to fraction form
    76,865/106,073.70 = 43,331/x
  3. Step 3: Cross multiply
    76,865x = 106,073.70 × 43,331
  4. Step 4: Simplify right side
    76,865x = 4,596,279,494.70
  5. Step 5: Solve for x
    x = 4,596,279,494.70/76,865
  6. Step 6: Final answer
    x = 59,796.78

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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.