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Finding the Fourth Proportional to 207,913.61, 311,908.93 and 65,794.68

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Solution

The fourth proportional to 207,913.61, 311,908.93 and 65,794.68 is: 98,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,913.61 : 311,908.93 = 65,794.68 : x
  2. Step 2: Convert to fraction form
    207,913.61/311,908.93 = 65,794.68/x
  3. Step 3: Cross multiply
    207,913.61x = 311,908.93 × 65,794.68
  4. Step 4: Simplify right side
    207,913.61x = 20,521,948,074.01
  5. Step 5: Solve for x
    x = 20,521,948,074.01/207,913.61
  6. Step 6: Final answer
    x = 98,704.21

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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.