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Finding the Fourth Proportional to 202,048.05, 278,824.05 and 111,411.93

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Solution

The fourth proportional to 202,048.05, 278,824.05 and 111,411.93 is: 153,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,048.05 : 278,824.05 = 111,411.93 : x
  2. Step 2: Convert to fraction form
    202,048.05/278,824.05 = 111,411.93/x
  3. Step 3: Cross multiply
    202,048.05x = 278,824.05 × 111,411.93
  4. Step 4: Simplify right side
    202,048.05x = 31,064,325,488.97
  5. Step 5: Solve for x
    x = 31,064,325,488.97/202,048.05
  6. Step 6: Final answer
    x = 153,747.22

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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.