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Finding the Fourth Proportional to 76,994.61, 115,491.92 and 28,972.25

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Solution

The fourth proportional to 76,994.61, 115,491.92 and 28,972.25 is: 43,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,994.61 : 115,491.92 = 28,972.25 : x
  2. Step 2: Convert to fraction form
    76,994.61/115,491.92 = 28,972.25/x
  3. Step 3: Cross multiply
    76,994.61x = 115,491.92 × 28,972.25
  4. Step 4: Simplify right side
    76,994.61x = 3,346,060,056.90
  5. Step 5: Solve for x
    x = 3,346,060,056.90/76,994.61
  6. Step 6: Final answer
    x = 43,458.37

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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.