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Finding the Fourth Proportional to 72,466.31, 108,722.09 and 32,518.78

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Solution

The fourth proportional to 72,466.31, 108,722.09 and 32,518.78 is: 48,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,466.31 : 108,722.09 = 32,518.78 : x
  2. Step 2: Convert to fraction form
    72,466.31/108,722.09 = 32,518.78/x
  3. Step 3: Cross multiply
    72,466.31x = 108,722.09 × 32,518.78
  4. Step 4: Simplify right side
    72,466.31x = 3,535,509,182.24
  5. Step 5: Solve for x
    x = 3,535,509,182.24/72,466.31
  6. Step 6: Final answer
    x = 48,788.32

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1.5x scale

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.