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Finding the Fourth Proportional to 137,008.62, 189,130.19 and 83,310.89

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Solution

The fourth proportional to 137,008.62, 189,130.19 and 83,310.89 is: 115,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,008.62 : 189,130.19 = 83,310.89 : x
  2. Step 2: Convert to fraction form
    137,008.62/189,130.19 = 83,310.89/x
  3. Step 3: Cross multiply
    137,008.62x = 189,130.19 × 83,310.89
  4. Step 4: Simplify right side
    137,008.62x = 15,756,603,092.56
  5. Step 5: Solve for x
    x = 15,756,603,092.56/137,008.62
  6. Step 6: Final answer
    x = 115,004.47

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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.