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Finding the Fourth Proportional to 209,202.70, 313,627.68 and 90,784.84

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Solution

The fourth proportional to 209,202.70, 313,627.68 and 90,784.84 is: 136,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,202.70 : 313,627.68 = 90,784.84 : x
  2. Step 2: Convert to fraction form
    209,202.70/313,627.68 = 90,784.84/x
  3. Step 3: Cross multiply
    209,202.70x = 313,627.68 × 90,784.84
  4. Step 4: Simplify right side
    209,202.70x = 28,472,638,748.37
  5. Step 5: Solve for x
    x = 28,472,638,748.37/209,202.70
  6. Step 6: Final answer
    x = 136,100.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.