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Finding the Fourth Proportional to 201,681.20, 302,521.80 and 192,823.85

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Solution

The fourth proportional to 201,681.20, 302,521.80 and 192,823.85 is: 289,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,681.20 : 302,521.80 = 192,823.85 : x
  2. Step 2: Convert to fraction form
    201,681.20/302,521.80 = 192,823.85/x
  3. Step 3: Cross multiply
    201,681.20x = 302,521.80 × 192,823.85
  4. Step 4: Simplify right side
    201,681.20x = 58,333,418,184.93
  5. Step 5: Solve for x
    x = 58,333,418,184.93/201,681.20
  6. Step 6: Final answer
    x = 289,235.78

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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.