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Finding the Fourth Proportional to 51,429.05, 70,978.66 and 28,769.30

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Solution

The fourth proportional to 51,429.05, 70,978.66 and 28,769.30 is: 39,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,429.05 : 70,978.66 = 28,769.30 : x
  2. Step 2: Convert to fraction form
    51,429.05/70,978.66 = 28,769.30/x
  3. Step 3: Cross multiply
    51,429.05x = 70,978.66 × 28,769.30
  4. Step 4: Simplify right side
    51,429.05x = 2,042,006,468.66
  5. Step 5: Solve for x
    x = 2,042,006,468.66/51,429.05
  6. Step 6: Final answer
    x = 39,705.31

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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.