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Finding the Fourth Proportional to 202,002.40, 302,811.60 and 75,608.80

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Solution

The fourth proportional to 202,002.40, 302,811.60 and 75,608.80 is: 113,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002.40 : 302,811.60 = 75,608.80 : x
  2. Step 2: Convert to fraction form
    202,002.40/302,811.60 = 75,608.80/x
  3. Step 3: Cross multiply
    202,002.40x = 302,811.60 × 75,608.80
  4. Step 4: Simplify right side
    202,002.40x = 22,895,221,702.08
  5. Step 5: Solve for x
    x = 22,895,221,702.08/202,002.40
  6. Step 6: Final answer
    x = 113,341.34

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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.