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Finding the Fourth Proportional to 72,748, 109,122.12 and 20,157.61

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Solution

The fourth proportional to 72,748, 109,122.12 and 20,157.61 is: 30,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,748 : 109,122.12 = 20,157.61 : x
  2. Step 2: Convert to fraction form
    72,748/109,122.12 = 20,157.61/x
  3. Step 3: Cross multiply
    72,748x = 109,122.12 × 20,157.61
  4. Step 4: Simplify right side
    72,748x = 2,199,641,137.33
  5. Step 5: Solve for x
    x = 2,199,641,137.33/72,748
  6. Step 6: Final answer
    x = 30,236.45

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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.