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Finding the Fourth Proportional to 202,146.30, 303,328.80 and 83,829.60

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Solution

The fourth proportional to 202,146.30, 303,328.80 and 83,829.60 is: 125,789.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,146.30 : 303,328.80 = 83,829.60 : x
  2. Step 2: Convert to fraction form
    202,146.30/303,328.80 = 83,829.60/x
  3. Step 3: Cross multiply
    202,146.30x = 303,328.80 × 83,829.60
  4. Step 4: Simplify right side
    202,146.30x = 25,427,931,972.48
  5. Step 5: Solve for x
    x = 25,427,931,972.48/202,146.30
  6. Step 6: Final answer
    x = 125,789.75

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1.5x scale

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.