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Finding the Fourth Proportional to 202,191.20, 302,703.60 and 135,706.40

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Solution

The fourth proportional to 202,191.20, 302,703.60 and 135,706.40 is: 203,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,191.20 : 302,703.60 = 135,706.40 : x
  2. Step 2: Convert to fraction form
    202,191.20/302,703.60 = 135,706.40/x
  3. Step 3: Cross multiply
    202,191.20x = 302,703.60 × 135,706.40
  4. Step 4: Simplify right side
    202,191.20x = 41,078,815,823.04
  5. Step 5: Solve for x
    x = 41,078,815,823.04/202,191.20
  6. Step 6: Final answer
    x = 203,168.17

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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.