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Finding the Fourth Proportional to 98,635, 136,116.78 and 53,923

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Solution

The fourth proportional to 98,635, 136,116.78 and 53,923 is: 74,414.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,635 : 136,116.78 = 53,923 : x
  2. Step 2: Convert to fraction form
    98,635/136,116.78 = 53,923/x
  3. Step 3: Cross multiply
    98,635x = 136,116.78 × 53,923
  4. Step 4: Simplify right side
    98,635x = 7,339,825,127.94
  5. Step 5: Solve for x
    x = 7,339,825,127.94/98,635
  6. Step 6: Final answer
    x = 74,414.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.