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Finding the Fourth Proportional to 137,137.89, 189,267.80 and 76,711.89

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Solution

The fourth proportional to 137,137.89, 189,267.80 and 76,711.89 is: 105,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,137.89 : 189,267.80 = 76,711.89 : x
  2. Step 2: Convert to fraction form
    137,137.89/189,267.80 = 76,711.89/x
  3. Step 3: Cross multiply
    137,137.89x = 189,267.80 × 76,711.89
  4. Step 4: Simplify right side
    137,137.89x = 14,519,090,270.58
  5. Step 5: Solve for x
    x = 14,519,090,270.58/137,137.89
  6. Step 6: Final answer
    x = 105,872.20

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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.