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Finding the Fourth Proportional to 202,405.10, 303,607.65 and 71,077.10

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Solution

The fourth proportional to 202,405.10, 303,607.65 and 71,077.10 is: 106,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.10 : 303,607.65 = 71,077.10 : x
  2. Step 2: Convert to fraction form
    202,405.10/303,607.65 = 71,077.10/x
  3. Step 3: Cross multiply
    202,405.10x = 303,607.65 × 71,077.10
  4. Step 4: Simplify right side
    202,405.10x = 21,579,551,299.82
  5. Step 5: Solve for x
    x = 21,579,551,299.82/202,405.10
  6. Step 6: Final answer
    x = 106,615.65

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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.