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Finding the Fourth Proportional to 202,139.90, 303,246.30 and 83,823.20

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Solution

The fourth proportional to 202,139.90, 303,246.30 and 83,823.20 is: 125,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.90 : 303,246.30 = 83,823.20 : x
  2. Step 2: Convert to fraction form
    202,139.90/303,246.30 = 83,823.20/x
  3. Step 3: Cross multiply
    202,139.90x = 303,246.30 × 83,823.20
  4. Step 4: Simplify right side
    202,139.90x = 25,419,075,254.16
  5. Step 5: Solve for x
    x = 25,419,075,254.16/202,139.90
  6. Step 6: Final answer
    x = 125,749.92

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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.