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Finding the Fourth Proportional to 192,434.40, 288,997.20 and 139,903.20

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Solution

The fourth proportional to 192,434.40, 288,997.20 and 139,903.20 is: 210,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,434.40 : 288,997.20 = 139,903.20 : x
  2. Step 2: Convert to fraction form
    192,434.40/288,997.20 = 139,903.20/x
  3. Step 3: Cross multiply
    192,434.40x = 288,997.20 × 139,903.20
  4. Step 4: Simplify right side
    192,434.40x = 40,431,633,071.04
  5. Step 5: Solve for x
    x = 40,431,633,071.04/192,434.40
  6. Step 6: Final answer
    x = 210,106.06

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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.