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Finding the Fourth Proportional to 100,101.64, 137,981.46 and 78,847.24

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Solution

The fourth proportional to 100,101.64, 137,981.46 and 78,847.24 is: 108,684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,101.64 : 137,981.46 = 78,847.24 : x
  2. Step 2: Convert to fraction form
    100,101.64/137,981.46 = 78,847.24/x
  3. Step 3: Cross multiply
    100,101.64x = 137,981.46 × 78,847.24
  4. Step 4: Simplify right side
    100,101.64x = 10,879,457,292.17
  5. Step 5: Solve for x
    x = 10,879,457,292.17/100,101.64
  6. Step 6: Final answer
    x = 108,684.11

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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.