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Finding the Fourth Proportional to 114,560.25, 171,966.09 and 91,019.12

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Solution

The fourth proportional to 114,560.25, 171,966.09 and 91,019.12 is: 136,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,560.25 : 171,966.09 = 91,019.12 : x
  2. Step 2: Convert to fraction form
    114,560.25/171,966.09 = 91,019.12/x
  3. Step 3: Cross multiply
    114,560.25x = 171,966.09 × 91,019.12
  4. Step 4: Simplify right side
    114,560.25x = 15,652,201,321.81
  5. Step 5: Solve for x
    x = 15,652,201,321.81/114,560.25
  6. Step 6: Final answer
    x = 136,628.55

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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.