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Finding the Fourth Proportional to 203,290.50, 280,540.89 and 123,802.50

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Solution

The fourth proportional to 203,290.50, 280,540.89 and 123,802.50 is: 170,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,290.50 : 280,540.89 = 123,802.50 : x
  2. Step 2: Convert to fraction form
    203,290.50/280,540.89 = 123,802.50/x
  3. Step 3: Cross multiply
    203,290.50x = 280,540.89 × 123,802.50
  4. Step 4: Simplify right side
    203,290.50x = 34,731,663,534.23
  5. Step 5: Solve for x
    x = 34,731,663,534.23/203,290.50
  6. Step 6: Final answer
    x = 170,847.45

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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.