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Finding the Fourth Proportional to 207,901, 311,889.96 and 65,782.04

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Solution

The fourth proportional to 207,901, 311,889.96 and 65,782.04 is: 98,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,901 : 311,889.96 = 65,782.04 : x
  2. Step 2: Convert to fraction form
    207,901/311,889.96 = 65,782.04/x
  3. Step 3: Cross multiply
    207,901x = 311,889.96 × 65,782.04
  4. Step 4: Simplify right side
    207,901x = 20,516,757,824.32
  5. Step 5: Solve for x
    x = 20,516,757,824.32/207,901
  6. Step 6: Final answer
    x = 98,685.23

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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.