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Finding the Fourth Proportional to 202,635.60, 304,039.80 and 97,400.40

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Solution

The fourth proportional to 202,635.60, 304,039.80 and 97,400.40 is: 146,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,635.60 : 304,039.80 = 97,400.40 : x
  2. Step 2: Convert to fraction form
    202,635.60/304,039.80 = 97,400.40/x
  3. Step 3: Cross multiply
    202,635.60x = 304,039.80 × 97,400.40
  4. Step 4: Simplify right side
    202,635.60x = 29,613,598,135.92
  5. Step 5: Solve for x
    x = 29,613,598,135.92/202,635.60
  6. Step 6: Final answer
    x = 146,142.13

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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.