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Finding the Fourth Proportional to 137,615.25, 189,893.87 and 77,173.46

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Solution

The fourth proportional to 137,615.25, 189,893.87 and 77,173.46 is: 106,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,615.25 : 189,893.87 = 77,173.46 : x
  2. Step 2: Convert to fraction form
    137,615.25/189,893.87 = 77,173.46/x
  3. Step 3: Cross multiply
    137,615.25x = 189,893.87 × 77,173.46
  4. Step 4: Simplify right side
    137,615.25x = 14,654,766,646.86
  5. Step 5: Solve for x
    x = 14,654,766,646.86/137,615.25
  6. Step 6: Final answer
    x = 106,490.86

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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.