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Finding the Fourth Proportional to 137,139.59, 205,709.39 and 58,198.46

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Solution

The fourth proportional to 137,139.59, 205,709.39 and 58,198.46 is: 87,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,139.59 : 205,709.39 = 58,198.46 : x
  2. Step 2: Convert to fraction form
    137,139.59/205,709.39 = 58,198.46/x
  3. Step 3: Cross multiply
    137,139.59x = 205,709.39 × 58,198.46
  4. Step 4: Simplify right side
    137,139.59x = 11,971,968,386.00
  5. Step 5: Solve for x
    x = 11,971,968,386.00/137,139.59
  6. Step 6: Final answer
    x = 87,297.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.