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Finding the Fourth Proportional to 207,648.42, 311,544.91 and 65,515.64

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Solution

The fourth proportional to 207,648.42, 311,544.91 and 65,515.64 is: 98,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,648.42 : 311,544.91 = 65,515.64 : x
  2. Step 2: Convert to fraction form
    207,648.42/311,544.91 = 65,515.64/x
  3. Step 3: Cross multiply
    207,648.42x = 311,544.91 × 65,515.64
  4. Step 4: Simplify right side
    207,648.42x = 20,411,064,167.39
  5. Step 5: Solve for x
    x = 20,411,064,167.39/207,648.42
  6. Step 6: Final answer
    x = 98,296.27

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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.