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Finding the Fourth Proportional to 100,955.70, 151,266.14 and 61,393.14

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Solution

The fourth proportional to 100,955.70, 151,266.14 and 61,393.14 is: 91,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,955.70 : 151,266.14 = 61,393.14 : x
  2. Step 2: Convert to fraction form
    100,955.70/151,266.14 = 61,393.14/x
  3. Step 3: Cross multiply
    100,955.70x = 151,266.14 × 61,393.14
  4. Step 4: Simplify right side
    100,955.70x = 9,286,703,310.28
  5. Step 5: Solve for x
    x = 9,286,703,310.28/100,955.70
  6. Step 6: Final answer
    x = 91,987.90

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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.