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Finding the Fourth Proportional to 137,190.60, 205,808.76 and 47,229.84

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Solution

The fourth proportional to 137,190.60, 205,808.76 and 47,229.84 is: 70,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,190.60 : 205,808.76 = 47,229.84 : x
  2. Step 2: Convert to fraction form
    137,190.60/205,808.76 = 47,229.84/x
  3. Step 3: Cross multiply
    137,190.60x = 205,808.76 × 47,229.84
  4. Step 4: Simplify right side
    137,190.60x = 9,720,314,805.40
  5. Step 5: Solve for x
    x = 9,720,314,805.40/137,190.60
  6. Step 6: Final answer
    x = 70,852.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.