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Finding the Fourth Proportional to 90,686, 136,036.84 and 25,022

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Solution

The fourth proportional to 90,686, 136,036.84 and 25,022 is: 37,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,686 : 136,036.84 = 25,022 : x
  2. Step 2: Convert to fraction form
    90,686/136,036.84 = 25,022/x
  3. Step 3: Cross multiply
    90,686x = 136,036.84 × 25,022
  4. Step 4: Simplify right side
    90,686x = 3,403,913,810.48
  5. Step 5: Solve for x
    x = 3,403,913,810.48/90,686
  6. Step 6: Final answer
    x = 37,535.16

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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.