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Finding the Fourth Proportional to 77,056.44, 115,551.84 and 30,276.50

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Solution

The fourth proportional to 77,056.44, 115,551.84 and 30,276.50 is: 45,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,056.44 : 115,551.84 = 30,276.50 : x
  2. Step 2: Convert to fraction form
    77,056.44/115,551.84 = 30,276.50/x
  3. Step 3: Cross multiply
    77,056.44x = 115,551.84 × 30,276.50
  4. Step 4: Simplify right side
    77,056.44x = 3,498,505,283.76
  5. Step 5: Solve for x
    x = 3,498,505,283.76/77,056.44
  6. Step 6: Final answer
    x = 45,401.85

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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.