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Finding the Fourth Proportional to 144,080.64, 198,812.92 and 80,421.12

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Solution

The fourth proportional to 144,080.64, 198,812.92 and 80,421.12 is: 110,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,080.64 : 198,812.92 = 80,421.12 : x
  2. Step 2: Convert to fraction form
    144,080.64/198,812.92 = 80,421.12/x
  3. Step 3: Cross multiply
    144,080.64x = 198,812.92 × 80,421.12
  4. Step 4: Simplify right side
    144,080.64x = 15,988,757,696.87
  5. Step 5: Solve for x
    x = 15,988,757,696.87/144,080.64
  6. Step 6: Final answer
    x = 110,970.90

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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.