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Finding the Fourth Proportional to 209,202.78, 288,702.78 and 113,709.48

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Solution

The fourth proportional to 209,202.78, 288,702.78 and 113,709.48 is: 156,920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,202.78 : 288,702.78 = 113,709.48 : x
  2. Step 2: Convert to fraction form
    209,202.78/288,702.78 = 113,709.48/x
  3. Step 3: Cross multiply
    209,202.78x = 288,702.78 × 113,709.48
  4. Step 4: Simplify right side
    209,202.78x = 32,828,242,988.35
  5. Step 5: Solve for x
    x = 32,828,242,988.35/209,202.78
  6. Step 6: Final answer
    x = 156,920.68

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1.5x scale

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.