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Finding the Fourth Proportional to 201,299.04, 301,957.74 and 142,398

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Solution

The fourth proportional to 201,299.04, 301,957.74 and 142,398 is: 213,603.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,299.04 : 301,957.74 = 142,398 : x
  2. Step 2: Convert to fraction form
    201,299.04/301,957.74 = 142,398/x
  3. Step 3: Cross multiply
    201,299.04x = 301,957.74 × 142,398
  4. Step 4: Simplify right side
    201,299.04x = 42,998,178,260.52
  5. Step 5: Solve for x
    x = 42,998,178,260.52/201,299.04
  6. Step 6: Final answer
    x = 213,603.49

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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.