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Finding the Fourth Proportional to 201,277.40, 301,916.10 and 82,909.40

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Solution

The fourth proportional to 201,277.40, 301,916.10 and 82,909.40 is: 124,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,277.40 : 301,916.10 = 82,909.40 : x
  2. Step 2: Convert to fraction form
    201,277.40/301,916.10 = 82,909.40/x
  3. Step 3: Cross multiply
    201,277.40x = 301,916.10 × 82,909.40
  4. Step 4: Simplify right side
    201,277.40x = 25,031,682,701.34
  5. Step 5: Solve for x
    x = 25,031,682,701.34/201,277.40
  6. Step 6: Final answer
    x = 124,364.10

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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.