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Finding the Fourth Proportional to 207,900.90, 311,851.35 and 205,136.10

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Solution

The fourth proportional to 207,900.90, 311,851.35 and 205,136.10 is: 307,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,900.90 : 311,851.35 = 205,136.10 : x
  2. Step 2: Convert to fraction form
    207,900.90/311,851.35 = 205,136.10/x
  3. Step 3: Cross multiply
    207,900.90x = 311,851.35 × 205,136.10
  4. Step 4: Simplify right side
    207,900.90x = 63,971,969,718.74
  5. Step 5: Solve for x
    x = 63,971,969,718.74/207,900.90
  6. Step 6: Final answer
    x = 307,704.15

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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.