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Finding the Fourth Proportional to 201,508.30, 302,918.55 and 142,750.90

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Solution

The fourth proportional to 201,508.30, 302,918.55 and 142,750.90 is: 214,591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,508.30 : 302,918.55 = 142,750.90 : x
  2. Step 2: Convert to fraction form
    201,508.30/302,918.55 = 142,750.90/x
  3. Step 3: Cross multiply
    201,508.30x = 302,918.55 × 142,750.90
  4. Step 4: Simplify right side
    201,508.30x = 43,241,895,639.20
  5. Step 5: Solve for x
    x = 43,241,895,639.20/201,508.30
  6. Step 6: Final answer
    x = 214,591.14

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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.