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Finding the Fourth Proportional to 51,543, 71,129.48 and 30,045.51

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Solution

The fourth proportional to 51,543, 71,129.48 and 30,045.51 is: 41,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,543 : 71,129.48 = 30,045.51 : x
  2. Step 2: Convert to fraction form
    51,543/71,129.48 = 30,045.51/x
  3. Step 3: Cross multiply
    51,543x = 71,129.48 × 30,045.51
  4. Step 4: Simplify right side
    51,543x = 2,137,121,352.41
  5. Step 5: Solve for x
    x = 2,137,121,352.41/51,543
  6. Step 6: Final answer
    x = 41,462.88

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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.