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Finding the Fourth Proportional to 201,310.49, 302,064.15 and 142,523.93

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Solution

The fourth proportional to 201,310.49, 302,064.15 and 142,523.93 is: 213,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310.49 : 302,064.15 = 142,523.93 : x
  2. Step 2: Convert to fraction form
    201,310.49/302,064.15 = 142,523.93/x
  3. Step 3: Cross multiply
    201,310.49x = 302,064.15 × 142,523.93
  4. Step 4: Simplify right side
    201,310.49x = 43,051,369,770.11
  5. Step 5: Solve for x
    x = 43,051,369,770.11/201,310.49
  6. Step 6: Final answer
    x = 213,855.57

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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.