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Finding the Fourth Proportional to 51,427.97, 70,977.17 and 28,768.22

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Solution

The fourth proportional to 51,427.97, 70,977.17 and 28,768.22 is: 39,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,427.97 : 70,977.17 = 28,768.22 : x
  2. Step 2: Convert to fraction form
    51,427.97/70,977.17 = 28,768.22/x
  3. Step 3: Cross multiply
    51,427.97x = 70,977.17 × 28,768.22
  4. Step 4: Simplify right side
    51,427.97x = 2,041,886,342.81
  5. Step 5: Solve for x
    x = 2,041,886,342.81/51,427.97
  6. Step 6: Final answer
    x = 39,703.81

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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.