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Finding the Fourth Proportional to 209,882.42, 314,870.40 and 76,759.73

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Solution

The fourth proportional to 209,882.42, 314,870.40 and 76,759.73 is: 115,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.42 : 314,870.40 = 76,759.73 : x
  2. Step 2: Convert to fraction form
    209,882.42/314,870.40 = 76,759.73/x
  3. Step 3: Cross multiply
    209,882.42x = 314,870.40 × 76,759.73
  4. Step 4: Simplify right side
    209,882.42x = 24,169,365,314.64
  5. Step 5: Solve for x
    x = 24,169,365,314.64/209,882.42
  6. Step 6: Final answer
    x = 115,156.70

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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.