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Finding the Fourth Proportional to 201,578.30, 302,476.80 and 83,261.60

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Solution

The fourth proportional to 201,578.30, 302,476.80 and 83,261.60 is: 124,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,578.30 : 302,476.80 = 83,261.60 : x
  2. Step 2: Convert to fraction form
    201,578.30/302,476.80 = 83,261.60/x
  3. Step 3: Cross multiply
    201,578.30x = 302,476.80 × 83,261.60
  4. Step 4: Simplify right side
    201,578.30x = 25,184,702,330.88
  5. Step 5: Solve for x
    x = 25,184,702,330.88/201,578.30
  6. Step 6: Final answer
    x = 124,937.57

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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.