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Finding the Fourth Proportional to 235,404, 324,904.64 and 139,892.16

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Solution

The fourth proportional to 235,404, 324,904.64 and 139,892.16 is: 193,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,404 : 324,904.64 = 139,892.16 : x
  2. Step 2: Convert to fraction form
    235,404/324,904.64 = 139,892.16/x
  3. Step 3: Cross multiply
    235,404x = 324,904.64 × 139,892.16
  4. Step 4: Simplify right side
    235,404x = 45,451,611,883.62
  5. Step 5: Solve for x
    x = 45,451,611,883.62/235,404
  6. Step 6: Final answer
    x = 193,079.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.