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Finding the Fourth Proportional to 105,599.90, 158,022.54 and 91,723.40

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Solution

The fourth proportional to 105,599.90, 158,022.54 and 91,723.40 is: 137,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599.90 : 158,022.54 = 91,723.40 : x
  2. Step 2: Convert to fraction form
    105,599.90/158,022.54 = 91,723.40/x
  3. Step 3: Cross multiply
    105,599.90x = 158,022.54 × 91,723.40
  4. Step 4: Simplify right side
    105,599.90x = 14,494,364,645.44
  5. Step 5: Solve for x
    x = 14,494,364,645.44/105,599.90
  6. Step 6: Final answer
    x = 137,257.37

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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.