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Finding the Fourth Proportional to 209,203.78, 288,704.16 and 113,710.48

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Solution

The fourth proportional to 209,203.78, 288,704.16 and 113,710.48 is: 156,922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,203.78 : 288,704.16 = 113,710.48 : x
  2. Step 2: Convert to fraction form
    209,203.78/288,704.16 = 113,710.48/x
  3. Step 3: Cross multiply
    209,203.78x = 288,704.16 × 113,710.48
  4. Step 4: Simplify right side
    209,203.78x = 32,828,688,611.60
  5. Step 5: Solve for x
    x = 32,828,688,611.60/209,203.78
  6. Step 6: Final answer
    x = 156,922.06

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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.