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Finding the Fourth Proportional to 109,390, 150,958.28 and 59,089

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Solution

The fourth proportional to 109,390, 150,958.28 and 59,089 is: 81,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,390 : 150,958.28 = 59,089 : x
  2. Step 2: Convert to fraction form
    109,390/150,958.28 = 59,089/x
  3. Step 3: Cross multiply
    109,390x = 150,958.28 × 59,089
  4. Step 4: Simplify right side
    109,390x = 8,919,973,806.92
  5. Step 5: Solve for x
    x = 8,919,973,806.92/109,390
  6. Step 6: Final answer
    x = 81,542.86

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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.