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Finding the Fourth Proportional to 70,267.50, 105,415.83 and 28,714.50

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Solution

The fourth proportional to 70,267.50, 105,415.83 and 28,714.50 is: 43,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,267.50 : 105,415.83 = 28,714.50 : x
  2. Step 2: Convert to fraction form
    70,267.50/105,415.83 = 28,714.50/x
  3. Step 3: Cross multiply
    70,267.50x = 105,415.83 × 28,714.50
  4. Step 4: Simplify right side
    70,267.50x = 3,026,962,850.54
  5. Step 5: Solve for x
    x = 3,026,962,850.54/70,267.50
  6. Step 6: Final answer
    x = 43,077.71

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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.