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Finding the Fourth Proportional to 137,354.06, 206,101.40 and 65,388.41

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Solution

The fourth proportional to 137,354.06, 206,101.40 and 65,388.41 is: 98,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,354.06 : 206,101.40 = 65,388.41 : x
  2. Step 2: Convert to fraction form
    137,354.06/206,101.40 = 65,388.41/x
  3. Step 3: Cross multiply
    137,354.06x = 206,101.40 × 65,388.41
  4. Step 4: Simplify right side
    137,354.06x = 13,476,642,844.77
  5. Step 5: Solve for x
    x = 13,476,642,844.77/137,354.06
  6. Step 6: Final answer
    x = 98,116.09

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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.