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Finding the Fourth Proportional to 100,084.64, 137,958 and 78,830.24

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Solution

The fourth proportional to 100,084.64, 137,958 and 78,830.24 is: 108,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,084.64 : 137,958 = 78,830.24 : x
  2. Step 2: Convert to fraction form
    100,084.64/137,958 = 78,830.24/x
  3. Step 3: Cross multiply
    100,084.64x = 137,958 × 78,830.24
  4. Step 4: Simplify right side
    100,084.64x = 10,875,262,249.92
  5. Step 5: Solve for x
    x = 10,875,262,249.92/100,084.64
  6. Step 6: Final answer
    x = 108,660.65

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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.