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Finding the Fourth Proportional to 137,137.08, 189,207.18 and 89,373

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Solution

The fourth proportional to 137,137.08, 189,207.18 and 89,373 is: 123,307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,137.08 : 189,207.18 = 89,373 : x
  2. Step 2: Convert to fraction form
    137,137.08/189,207.18 = 89,373/x
  3. Step 3: Cross multiply
    137,137.08x = 189,207.18 × 89,373
  4. Step 4: Simplify right side
    137,137.08x = 16,910,013,298.14
  5. Step 5: Solve for x
    x = 16,910,013,298.14/137,137.08
  6. Step 6: Final answer
    x = 123,307.37

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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.