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Finding the Fourth Proportional to 137,641.68, 206,464.55 and 53,406.54

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Solution

The fourth proportional to 137,641.68, 206,464.55 and 53,406.54 is: 80,110.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,641.68 : 206,464.55 = 53,406.54 : x
  2. Step 2: Convert to fraction form
    137,641.68/206,464.55 = 53,406.54/x
  3. Step 3: Cross multiply
    137,641.68x = 206,464.55 × 53,406.54
  4. Step 4: Simplify right side
    137,641.68x = 11,026,556,981.12
  5. Step 5: Solve for x
    x = 11,026,556,981.12/137,641.68
  6. Step 6: Final answer
    x = 80,110.60

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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.