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Finding the Fourth Proportional to 209,816.46, 314,855.82 and 85,157.46

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Solution

The fourth proportional to 209,816.46, 314,855.82 and 85,157.46 is: 127,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,816.46 : 314,855.82 = 85,157.46 : x
  2. Step 2: Convert to fraction form
    209,816.46/314,855.82 = 85,157.46/x
  3. Step 3: Cross multiply
    209,816.46x = 314,855.82 × 85,157.46
  4. Step 4: Simplify right side
    209,816.46x = 26,812,321,897.42
  5. Step 5: Solve for x
    x = 26,812,321,897.42/209,816.46
  6. Step 6: Final answer
    x = 127,789.41

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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.