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Finding the Fourth Proportional to 201,911.50, 302,954.70 and 108,307.90

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Solution

The fourth proportional to 201,911.50, 302,954.70 and 108,307.90 is: 162,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,911.50 : 302,954.70 = 108,307.90 : x
  2. Step 2: Convert to fraction form
    201,911.50/302,954.70 = 108,307.90/x
  3. Step 3: Cross multiply
    201,911.50x = 302,954.70 × 108,307.90
  4. Step 4: Simplify right side
    201,911.50x = 32,812,387,352.13
  5. Step 5: Solve for x
    x = 32,812,387,352.13/201,911.50
  6. Step 6: Final answer
    x = 162,508.76

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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.