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Finding the Fourth Proportional to 74,702.73, 103,090.20 and 42,871.86

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Solution

The fourth proportional to 74,702.73, 103,090.20 and 42,871.86 is: 59,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,702.73 : 103,090.20 = 42,871.86 : x
  2. Step 2: Convert to fraction form
    74,702.73/103,090.20 = 42,871.86/x
  3. Step 3: Cross multiply
    74,702.73x = 103,090.20 × 42,871.86
  4. Step 4: Simplify right side
    74,702.73x = 4,419,668,621.77
  5. Step 5: Solve for x
    x = 4,419,668,621.77/74,702.73
  6. Step 6: Final answer
    x = 59,163.42

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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.