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Finding the Fourth Proportional to 70,542.93, 105,820.53 and 23,143.80

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Solution

The fourth proportional to 70,542.93, 105,820.53 and 23,143.80 is: 34,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542.93 : 105,820.53 = 23,143.80 : x
  2. Step 2: Convert to fraction form
    70,542.93/105,820.53 = 23,143.80/x
  3. Step 3: Cross multiply
    70,542.93x = 105,820.53 × 23,143.80
  4. Step 4: Simplify right side
    70,542.93x = 2,449,089,182.21
  5. Step 5: Solve for x
    x = 2,449,089,182.21/70,542.93
  6. Step 6: Final answer
    x = 34,717.71

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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.