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Finding the Fourth Proportional to 201,423.84, 302,135.85 and 51,664.14

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Solution

The fourth proportional to 201,423.84, 302,135.85 and 51,664.14 is: 77,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,423.84 : 302,135.85 = 51,664.14 : x
  2. Step 2: Convert to fraction form
    201,423.84/302,135.85 = 51,664.14/x
  3. Step 3: Cross multiply
    201,423.84x = 302,135.85 × 51,664.14
  4. Step 4: Simplify right side
    201,423.84x = 15,609,588,853.42
  5. Step 5: Solve for x
    x = 15,609,588,853.42/201,423.84
  6. Step 6: Final answer
    x = 77,496.23

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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.