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Finding the Fourth Proportional to 73,152.30, 109,712.01 and 43,578.54

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Solution

The fourth proportional to 73,152.30, 109,712.01 and 43,578.54 is: 65,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152.30 : 109,712.01 = 43,578.54 : x
  2. Step 2: Convert to fraction form
    73,152.30/109,712.01 = 43,578.54/x
  3. Step 3: Cross multiply
    73,152.30x = 109,712.01 × 43,578.54
  4. Step 4: Simplify right side
    73,152.30x = 4,781,089,216.27
  5. Step 5: Solve for x
    x = 4,781,089,216.27/73,152.30
  6. Step 6: Final answer
    x = 65,358.02

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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.