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Finding the Fourth Proportional to 137,348.63, 189,543.61 and 82,900.87

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Solution

The fourth proportional to 137,348.63, 189,543.61 and 82,900.87 is: 114,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,348.63 : 189,543.61 = 82,900.87 : x
  2. Step 2: Convert to fraction form
    137,348.63/189,543.61 = 82,900.87/x
  3. Step 3: Cross multiply
    137,348.63x = 189,543.61 × 82,900.87
  4. Step 4: Simplify right side
    137,348.63x = 15,713,329,490.83
  5. Step 5: Solve for x
    x = 15,713,329,490.83/137,348.63
  6. Step 6: Final answer
    x = 114,404.71

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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.