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Finding the Fourth Proportional to 72,783.91, 109,175.91 and 20,193.45

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Solution

The fourth proportional to 72,783.91, 109,175.91 and 20,193.45 is: 30,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.91 : 109,175.91 = 20,193.45 : x
  2. Step 2: Convert to fraction form
    72,783.91/109,175.91 = 20,193.45/x
  3. Step 3: Cross multiply
    72,783.91x = 109,175.91 × 20,193.45
  4. Step 4: Simplify right side
    72,783.91x = 2,204,638,279.79
  5. Step 5: Solve for x
    x = 2,204,638,279.79/72,783.91
  6. Step 6: Final answer
    x = 30,290.19

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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.