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Finding the Fourth Proportional to 201,435.77, 302,158.33 and 66,456.53

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Solution

The fourth proportional to 201,435.77, 302,158.33 and 66,456.53 is: 99,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,435.77 : 302,158.33 = 66,456.53 : x
  2. Step 2: Convert to fraction form
    201,435.77/302,158.33 = 66,456.53/x
  3. Step 3: Cross multiply
    201,435.77x = 302,158.33 × 66,456.53
  4. Step 4: Simplify right side
    201,435.77x = 20,080,394,122.39
  5. Step 5: Solve for x
    x = 20,080,394,122.39/201,435.77
  6. Step 6: Final answer
    x = 99,686.34

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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.