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Finding the Fourth Proportional to 70,175.34, 105,278.81 and 23,427

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Solution

The fourth proportional to 70,175.34, 105,278.81 and 23,427 is: 35,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,175.34 : 105,278.81 = 23,427 : x
  2. Step 2: Convert to fraction form
    70,175.34/105,278.81 = 23,427/x
  3. Step 3: Cross multiply
    70,175.34x = 105,278.81 × 23,427
  4. Step 4: Simplify right side
    70,175.34x = 2,466,366,564.74
  5. Step 5: Solve for x
    x = 2,466,366,564.74/70,175.34
  6. Step 6: Final answer
    x = 35,145.77

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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.