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Finding the Fourth Proportional to 137,563.52, 189,804.48 and 87,244.16

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Solution

The fourth proportional to 137,563.52, 189,804.48 and 87,244.16 is: 120,375.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,563.52 : 189,804.48 = 87,244.16 : x
  2. Step 2: Convert to fraction form
    137,563.52/189,804.48 = 87,244.16/x
  3. Step 3: Cross multiply
    137,563.52x = 189,804.48 × 87,244.16
  4. Step 4: Simplify right side
    137,563.52x = 16,559,332,421.84
  5. Step 5: Solve for x
    x = 16,559,332,421.84/137,563.52
  6. Step 6: Final answer
    x = 120,375.90

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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.