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Finding the Fourth Proportional to 202,266.40, 302,962.20 and 131,407.60

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Solution

The fourth proportional to 202,266.40, 302,962.20 and 131,407.60 is: 196,827.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,266.40 : 302,962.20 = 131,407.60 : x
  2. Step 2: Convert to fraction form
    202,266.40/302,962.20 = 131,407.60/x
  3. Step 3: Cross multiply
    202,266.40x = 302,962.20 × 131,407.60
  4. Step 4: Simplify right side
    202,266.40x = 39,811,535,592.72
  5. Step 5: Solve for x
    x = 39,811,535,592.72/202,266.40
  6. Step 6: Final answer
    x = 196,827.23

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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.