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Finding the Fourth Proportional to 51,132, 70,562.18 and 28,776.48

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Solution

The fourth proportional to 51,132, 70,562.18 and 28,776.48 is: 39,711.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 70,562.18 = 28,776.48 : x
  2. Step 2: Convert to fraction form
    51,132/70,562.18 = 28,776.48/x
  3. Step 3: Cross multiply
    51,132x = 70,562.18 × 28,776.48
  4. Step 4: Simplify right side
    51,132x = 2,030,531,161.53
  5. Step 5: Solve for x
    x = 2,030,531,161.53/51,132
  6. Step 6: Final answer
    x = 39,711.55

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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.