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Finding the Fourth Proportional to 137,403.54, 206,103.69 and 77,436.54

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Solution

The fourth proportional to 137,403.54, 206,103.69 and 77,436.54 is: 116,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,403.54 : 206,103.69 = 77,436.54 : x
  2. Step 2: Convert to fraction form
    137,403.54/206,103.69 = 77,436.54/x
  3. Step 3: Cross multiply
    137,403.54x = 206,103.69 × 77,436.54
  4. Step 4: Simplify right side
    137,403.54x = 15,959,956,634.83
  5. Step 5: Solve for x
    x = 15,959,956,634.83/137,403.54
  6. Step 6: Final answer
    x = 116,153.90

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1.5x scale

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.