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Finding the Fourth Proportional to 137,062.68, 189,153.72 and 83,338.80

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Solution

The fourth proportional to 137,062.68, 189,153.72 and 83,338.80 is: 115,011.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,062.68 : 189,153.72 = 83,338.80 : x
  2. Step 2: Convert to fraction form
    137,062.68/189,153.72 = 83,338.80/x
  3. Step 3: Cross multiply
    137,062.68x = 189,153.72 × 83,338.80
  4. Step 4: Simplify right side
    137,062.68x = 15,763,844,040.34
  5. Step 5: Solve for x
    x = 15,763,844,040.34/137,062.68
  6. Step 6: Final answer
    x = 115,011.93

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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.