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Finding the Fourth Proportional to 203,142.40, 304,762.20 and 97,874.80

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Solution

The fourth proportional to 203,142.40, 304,762.20 and 97,874.80 is: 146,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142.40 : 304,762.20 = 97,874.80 : x
  2. Step 2: Convert to fraction form
    203,142.40/304,762.20 = 97,874.80/x
  3. Step 3: Cross multiply
    203,142.40x = 304,762.20 × 97,874.80
  4. Step 4: Simplify right side
    203,142.40x = 29,828,539,372.56
  5. Step 5: Solve for x
    x = 29,828,539,372.56/203,142.40
  6. Step 6: Final answer
    x = 146,835.62

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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.