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Finding the Fourth Proportional to 137,041.86, 189,122.22 and 75,788.94

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Solution

The fourth proportional to 137,041.86, 189,122.22 and 75,788.94 is: 104,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,041.86 : 189,122.22 = 75,788.94 : x
  2. Step 2: Convert to fraction form
    137,041.86/189,122.22 = 75,788.94/x
  3. Step 3: Cross multiply
    137,041.86x = 189,122.22 × 75,788.94
  4. Step 4: Simplify right side
    137,041.86x = 14,333,372,584.25
  5. Step 5: Solve for x
    x = 14,333,372,584.25/137,041.86
  6. Step 6: Final answer
    x = 104,591.20

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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.