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Finding the Fourth Proportional to 203,265.63, 280,604.07 and 142,888.03

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Solution

The fourth proportional to 203,265.63, 280,604.07 and 142,888.03 is: 197,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,265.63 : 280,604.07 = 142,888.03 : x
  2. Step 2: Convert to fraction form
    203,265.63/280,604.07 = 142,888.03/x
  3. Step 3: Cross multiply
    203,265.63x = 280,604.07 × 142,888.03
  4. Step 4: Simplify right side
    203,265.63x = 40,094,962,772.28
  5. Step 5: Solve for x
    x = 40,094,962,772.28/203,265.63
  6. Step 6: Final answer
    x = 197,254.02

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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.