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Finding the Fourth Proportional to 202,016, 278,790.72 and 112,592

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Solution

The fourth proportional to 202,016, 278,790.72 and 112,592 is: 155,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016 : 278,790.72 = 112,592 : x
  2. Step 2: Convert to fraction form
    202,016/278,790.72 = 112,592/x
  3. Step 3: Cross multiply
    202,016x = 278,790.72 × 112,592
  4. Step 4: Simplify right side
    202,016x = 31,389,604,746.24
  5. Step 5: Solve for x
    x = 31,389,604,746.24/202,016
  6. Step 6: Final answer
    x = 155,381.78

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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.