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Finding the Fourth Proportional to 137,421.44, 206,083.54 and 65,365.88

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Solution

The fourth proportional to 137,421.44, 206,083.54 and 65,365.88 is: 98,025.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,421.44 : 206,083.54 = 65,365.88 : x
  2. Step 2: Convert to fraction form
    137,421.44/206,083.54 = 65,365.88/x
  3. Step 3: Cross multiply
    137,421.44x = 206,083.54 × 65,365.88
  4. Step 4: Simplify right side
    137,421.44x = 13,470,831,945.62
  5. Step 5: Solve for x
    x = 13,470,831,945.62/137,421.44
  6. Step 6: Final answer
    x = 98,025.69

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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.