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Finding the Fourth Proportional to 202,506.10, 303,431.10 and 172,981.60

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Solution

The fourth proportional to 202,506.10, 303,431.10 and 172,981.60 is: 259,192.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,506.10 : 303,431.10 = 172,981.60 : x
  2. Step 2: Convert to fraction form
    202,506.10/303,431.10 = 172,981.60/x
  3. Step 3: Cross multiply
    202,506.10x = 303,431.10 × 172,981.60
  4. Step 4: Simplify right side
    202,506.10x = 52,487,997,167.76
  5. Step 5: Solve for x
    x = 52,487,997,167.76/202,506.10
  6. Step 6: Final answer
    x = 259,192.18

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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.