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Finding the Fourth Proportional to 209,205.78, 288,706.92 and 113,712.48

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Solution

The fourth proportional to 209,205.78, 288,706.92 and 113,712.48 is: 156,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,205.78 : 288,706.92 = 113,712.48 : x
  2. Step 2: Convert to fraction form
    209,205.78/288,706.92 = 113,712.48/x
  3. Step 3: Cross multiply
    209,205.78x = 288,706.92 × 113,712.48
  4. Step 4: Simplify right side
    209,205.78x = 32,829,579,866.36
  5. Step 5: Solve for x
    x = 32,829,579,866.36/209,205.78
  6. Step 6: Final answer
    x = 156,924.82

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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.