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Finding the Fourth Proportional to 136,690.29, 205,036.80 and 47,945.94

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Solution

The fourth proportional to 136,690.29, 205,036.80 and 47,945.94 is: 71,919.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,690.29 : 205,036.80 = 47,945.94 : x
  2. Step 2: Convert to fraction form
    136,690.29/205,036.80 = 47,945.94/x
  3. Step 3: Cross multiply
    136,690.29x = 205,036.80 × 47,945.94
  4. Step 4: Simplify right side
    136,690.29x = 9,830,682,110.59
  5. Step 5: Solve for x
    x = 9,830,682,110.59/136,690.29
  6. Step 6: Final answer
    x = 71,919.39

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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.