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Finding the Fourth Proportional to 137,580.58, 189,780.72 and 86,512.45

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Solution

The fourth proportional to 137,580.58, 189,780.72 and 86,512.45 is: 119,336.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.58 : 189,780.72 = 86,512.45 : x
  2. Step 2: Convert to fraction form
    137,580.58/189,780.72 = 86,512.45/x
  3. Step 3: Cross multiply
    137,580.58x = 189,780.72 × 86,512.45
  4. Step 4: Simplify right side
    137,580.58x = 16,418,395,049.96
  5. Step 5: Solve for x
    x = 16,418,395,049.96/137,580.58
  6. Step 6: Final answer
    x = 119,336.57

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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.