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Finding the Fourth Proportional to 207,731.28, 311,638.84 and 65,598.76

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Solution

The fourth proportional to 207,731.28, 311,638.84 and 65,598.76 is: 98,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,731.28 : 311,638.84 = 65,598.76 : x
  2. Step 2: Convert to fraction form
    207,731.28/311,638.84 = 65,598.76/x
  3. Step 3: Cross multiply
    207,731.28x = 311,638.84 × 65,598.76
  4. Step 4: Simplify right side
    207,731.28x = 20,443,121,471.84
  5. Step 5: Solve for x
    x = 20,443,121,471.84/207,731.28
  6. Step 6: Final answer
    x = 98,411.38

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1.5x scale

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.