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Finding the Fourth Proportional to 76,759.80, 115,139.70 and 32,374.77

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Solution

The fourth proportional to 76,759.80, 115,139.70 and 32,374.77 is: 48,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,759.80 : 115,139.70 = 32,374.77 : x
  2. Step 2: Convert to fraction form
    76,759.80/115,139.70 = 32,374.77/x
  3. Step 3: Cross multiply
    76,759.80x = 115,139.70 × 32,374.77
  4. Step 4: Simplify right side
    76,759.80x = 3,727,621,305.37
  5. Step 5: Solve for x
    x = 3,727,621,305.37/76,759.80
  6. Step 6: Final answer
    x = 48,562.16

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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.