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Finding the Fourth Proportional to 207,902.99, 311,892.95 and 65,784.04

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Solution

The fourth proportional to 207,902.99, 311,892.95 and 65,784.04 is: 98,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902.99 : 311,892.95 = 65,784.04 : x
  2. Step 2: Convert to fraction form
    207,902.99/311,892.95 = 65,784.04/x
  3. Step 3: Cross multiply
    207,902.99x = 311,892.95 × 65,784.04
  4. Step 4: Simplify right side
    207,902.99x = 20,517,578,298.52
  5. Step 5: Solve for x
    x = 20,517,578,298.52/207,902.99
  6. Step 6: Final answer
    x = 98,688.23

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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.