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Finding the Fourth Proportional to 100,080.14, 137,951.79 and 78,825.74

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Solution

The fourth proportional to 100,080.14, 137,951.79 and 78,825.74 is: 108,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,080.14 : 137,951.79 = 78,825.74 : x
  2. Step 2: Convert to fraction form
    100,080.14/137,951.79 = 78,825.74/x
  3. Step 3: Cross multiply
    100,080.14x = 137,951.79 × 78,825.74
  4. Step 4: Simplify right side
    100,080.14x = 10,874,151,931.07
  5. Step 5: Solve for x
    x = 10,874,151,931.07/100,080.14
  6. Step 6: Final answer
    x = 108,654.44

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1.5x scale

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.