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Finding the Fourth Proportional to 201,642.20, 302,463.30 and 141,507.80

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Solution

The fourth proportional to 201,642.20, 302,463.30 and 141,507.80 is: 212,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.20 : 302,463.30 = 141,507.80 : x
  2. Step 2: Convert to fraction form
    201,642.20/302,463.30 = 141,507.80/x
  3. Step 3: Cross multiply
    201,642.20x = 302,463.30 × 141,507.80
  4. Step 4: Simplify right side
    201,642.20x = 42,800,916,163.74
  5. Step 5: Solve for x
    x = 42,800,916,163.74/201,642.20
  6. Step 6: Final answer
    x = 212,261.70

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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.