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Finding the Fourth Proportional to 202,035.36, 278,818.32 and 112,612

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Solution

The fourth proportional to 202,035.36, 278,818.32 and 112,612 is: 155,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,035.36 : 278,818.32 = 112,612 : x
  2. Step 2: Convert to fraction form
    202,035.36/278,818.32 = 112,612/x
  3. Step 3: Cross multiply
    202,035.36x = 278,818.32 × 112,612
  4. Step 4: Simplify right side
    202,035.36x = 31,398,288,651.84
  5. Step 5: Solve for x
    x = 31,398,288,651.84/202,035.36
  6. Step 6: Final answer
    x = 155,409.87

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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.