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Finding the Fourth Proportional to 70,512.87, 105,695.01 and 23,115.60

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Solution

The fourth proportional to 70,512.87, 105,695.01 and 23,115.60 is: 34,649.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.87 : 105,695.01 = 23,115.60 : x
  2. Step 2: Convert to fraction form
    70,512.87/105,695.01 = 23,115.60/x
  3. Step 3: Cross multiply
    70,512.87x = 105,695.01 × 23,115.60
  4. Step 4: Simplify right side
    70,512.87x = 2,443,203,967.94
  5. Step 5: Solve for x
    x = 2,443,203,967.94/70,512.87
  6. Step 6: Final answer
    x = 34,649.05

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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.