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Finding the Fourth Proportional to 209,395.60, 288,970.72 and 113,907.44

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Solution

The fourth proportional to 209,395.60, 288,970.72 and 113,907.44 is: 157,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,395.60 : 288,970.72 = 113,907.44 : x
  2. Step 2: Convert to fraction form
    209,395.60/288,970.72 = 113,907.44/x
  3. Step 3: Cross multiply
    209,395.60x = 288,970.72 × 113,907.44
  4. Step 4: Simplify right side
    209,395.60x = 32,915,914,950.16
  5. Step 5: Solve for x
    x = 32,915,914,950.16/209,395.60
  6. Step 6: Final answer
    x = 157,194.87

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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.