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Finding the Fourth Proportional to 209,034.90, 313,461.63 and 75,870.90

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Solution

The fourth proportional to 209,034.90, 313,461.63 and 75,870.90 is: 113,773.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,034.90 : 313,461.63 = 75,870.90 : x
  2. Step 2: Convert to fraction form
    209,034.90/313,461.63 = 75,870.90/x
  3. Step 3: Cross multiply
    209,034.90x = 313,461.63 × 75,870.90
  4. Step 4: Simplify right side
    209,034.90x = 23,782,615,983.57
  5. Step 5: Solve for x
    x = 23,782,615,983.57/209,034.90
  6. Step 6: Final answer
    x = 113,773.42

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1.5x scale

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.