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Finding the Fourth Proportional to 70,685.76, 106,028.56 and 18,095.16

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Solution

The fourth proportional to 70,685.76, 106,028.56 and 18,095.16 is: 27,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,685.76 : 106,028.56 = 18,095.16 : x
  2. Step 2: Convert to fraction form
    70,685.76/106,028.56 = 18,095.16/x
  3. Step 3: Cross multiply
    70,685.76x = 106,028.56 × 18,095.16
  4. Step 4: Simplify right side
    70,685.76x = 1,918,603,757.77
  5. Step 5: Solve for x
    x = 1,918,603,757.77/70,685.76
  6. Step 6: Final answer
    x = 27,142.72

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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.