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Finding the Fourth Proportional to 137,145.68, 189,178.27 and 90,578.82

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Solution

The fourth proportional to 137,145.68, 189,178.27 and 90,578.82 is: 124,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,145.68 : 189,178.27 = 90,578.82 : x
  2. Step 2: Convert to fraction form
    137,145.68/189,178.27 = 90,578.82/x
  3. Step 3: Cross multiply
    137,145.68x = 189,178.27 × 90,578.82
  4. Step 4: Simplify right side
    137,145.68x = 17,135,544,013.35
  5. Step 5: Solve for x
    x = 17,135,544,013.35/137,145.68
  6. Step 6: Final answer
    x = 124,944.11

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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.