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Finding the Fourth Proportional to 206,953.13, 310,296.12 and 98,824.00

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Solution

The fourth proportional to 206,953.13, 310,296.12 and 98,824.00 is: 148,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953.13 : 310,296.12 = 98,824.00 : x
  2. Step 2: Convert to fraction form
    206,953.13/310,296.12 = 98,824.00/x
  3. Step 3: Cross multiply
    206,953.13x = 310,296.12 × 98,824.00
  4. Step 4: Simplify right side
    206,953.13x = 30,664,703,198.35
  5. Step 5: Solve for x
    x = 30,664,703,198.35/206,953.13
  6. Step 6: Final answer
    x = 148,172.21

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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.