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Finding the Fourth Proportional to 201,749.40, 302,624.10 and 83,381.40

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Solution

The fourth proportional to 201,749.40, 302,624.10 and 83,381.40 is: 125,072.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,749.40 : 302,624.10 = 83,381.40 : x
  2. Step 2: Convert to fraction form
    201,749.40/302,624.10 = 83,381.40/x
  3. Step 3: Cross multiply
    201,749.40x = 302,624.10 × 83,381.40
  4. Step 4: Simplify right side
    201,749.40x = 25,233,221,131.74
  5. Step 5: Solve for x
    x = 25,233,221,131.74/201,749.40
  6. Step 6: Final answer
    x = 125,072.10

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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.