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Finding the Fourth Proportional to 209,330.70, 313,898.85 and 90,941.10

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Solution

The fourth proportional to 209,330.70, 313,898.85 and 90,941.10 is: 136,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,330.70 : 313,898.85 = 90,941.10 : x
  2. Step 2: Convert to fraction form
    209,330.70/313,898.85 = 90,941.10/x
  3. Step 3: Cross multiply
    209,330.70x = 313,898.85 × 90,941.10
  4. Step 4: Simplify right side
    209,330.70x = 28,546,306,707.74
  5. Step 5: Solve for x
    x = 28,546,306,707.74/209,330.70
  6. Step 6: Final answer
    x = 136,369.42

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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.