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Finding the Fourth Proportional to 57,043.53, 78,625.76 and 42,871.77

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Solution

The fourth proportional to 57,043.53, 78,625.76 and 42,871.77 is: 59,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,043.53 : 78,625.76 = 42,871.77 : x
  2. Step 2: Convert to fraction form
    57,043.53/78,625.76 = 42,871.77/x
  3. Step 3: Cross multiply
    57,043.53x = 78,625.76 × 42,871.77
  4. Step 4: Simplify right side
    57,043.53x = 3,370,825,284.44
  5. Step 5: Solve for x
    x = 3,370,825,284.44/57,043.53
  6. Step 6: Final answer
    x = 59,092.16

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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.