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Finding the Fourth Proportional to 203,134.34, 304,587.56 and 139,164.78

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Solution

The fourth proportional to 203,134.34, 304,587.56 and 139,164.78 is: 208,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,134.34 : 304,587.56 = 139,164.78 : x
  2. Step 2: Convert to fraction form
    203,134.34/304,587.56 = 139,164.78/x
  3. Step 3: Cross multiply
    203,134.34x = 304,587.56 × 139,164.78
  4. Step 4: Simplify right side
    203,134.34x = 42,387,860,778.14
  5. Step 5: Solve for x
    x = 42,387,860,778.14/203,134.34
  6. Step 6: Final answer
    x = 208,669.10

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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.