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Finding the Fourth Proportional to 103,009.75, 154,614.27 and 49,739.08

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Solution

The fourth proportional to 103,009.75, 154,614.27 and 49,739.08 is: 74,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,009.75 : 154,614.27 = 49,739.08 : x
  2. Step 2: Convert to fraction form
    103,009.75/154,614.27 = 49,739.08/x
  3. Step 3: Cross multiply
    103,009.75x = 154,614.27 × 49,739.08
  4. Step 4: Simplify right side
    103,009.75x = 7,690,371,544.67
  5. Step 5: Solve for x
    x = 7,690,371,544.67/103,009.75
  6. Step 6: Final answer
    x = 74,656.73

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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.