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Finding the Fourth Proportional to 76,849, 106,139.10 and 51,654.76

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Solution

The fourth proportional to 76,849, 106,139.10 and 51,654.76 is: 71,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849 : 106,139.10 = 51,654.76 : x
  2. Step 2: Convert to fraction form
    76,849/106,139.10 = 51,654.76/x
  3. Step 3: Cross multiply
    76,849x = 106,139.10 × 51,654.76
  4. Step 4: Simplify right side
    76,849x = 5,482,589,737.12
  5. Step 5: Solve for x
    x = 5,482,589,737.12/76,849
  6. Step 6: Final answer
    x = 71,342.37

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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.