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Finding the Fourth Proportional to 137,258.80, 205,895.55 and 42,554.41

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Solution

The fourth proportional to 137,258.80, 205,895.55 and 42,554.41 is: 63,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,258.80 : 205,895.55 = 42,554.41 : x
  2. Step 2: Convert to fraction form
    137,258.80/205,895.55 = 42,554.41/x
  3. Step 3: Cross multiply
    137,258.80x = 205,895.55 × 42,554.41
  4. Step 4: Simplify right side
    137,258.80x = 8,761,763,651.88
  5. Step 5: Solve for x
    x = 8,761,763,651.88/137,258.80
  6. Step 6: Final answer
    x = 63,833.89

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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.