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Finding the Fourth Proportional to 51,325.20, 70,827.84 and 28,969.20

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Solution

The fourth proportional to 51,325.20, 70,827.84 and 28,969.20 is: 39,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,325.20 : 70,827.84 = 28,969.20 : x
  2. Step 2: Convert to fraction form
    51,325.20/70,827.84 = 28,969.20/x
  3. Step 3: Cross multiply
    51,325.20x = 70,827.84 × 28,969.20
  4. Step 4: Simplify right side
    51,325.20x = 2,051,825,862.53
  5. Step 5: Solve for x
    x = 2,051,825,862.53/51,325.20
  6. Step 6: Final answer
    x = 39,976.97

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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.