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Finding the Fourth Proportional to 137,029.35, 205,544.03 and 105,886.95

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Solution

The fourth proportional to 137,029.35, 205,544.03 and 105,886.95 is: 158,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,029.35 : 205,544.03 = 105,886.95 : x
  2. Step 2: Convert to fraction form
    137,029.35/205,544.03 = 105,886.95/x
  3. Step 3: Cross multiply
    137,029.35x = 205,544.03 × 105,886.95
  4. Step 4: Simplify right side
    137,029.35x = 21,764,429,897.97
  5. Step 5: Solve for x
    x = 21,764,429,897.97/137,029.35
  6. Step 6: Final answer
    x = 158,830.43

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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.