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Finding the Fourth Proportional to 207,405.64, 311,039.26 and 81,013.10

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Solution

The fourth proportional to 207,405.64, 311,039.26 and 81,013.10 is: 121,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,405.64 : 311,039.26 = 81,013.10 : x
  2. Step 2: Convert to fraction form
    207,405.64/311,039.26 = 81,013.10/x
  3. Step 3: Cross multiply
    207,405.64x = 311,039.26 × 81,013.10
  4. Step 4: Simplify right side
    207,405.64x = 25,198,254,674.31
  5. Step 5: Solve for x
    x = 25,198,254,674.31/207,405.64
  6. Step 6: Final answer
    x = 121,492.62

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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.