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Finding the Fourth Proportional to 72,327.87, 108,509.13 and 30,184.51

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Solution

The fourth proportional to 72,327.87, 108,509.13 and 30,184.51 is: 45,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,327.87 : 108,509.13 = 30,184.51 : x
  2. Step 2: Convert to fraction form
    72,327.87/108,509.13 = 30,184.51/x
  3. Step 3: Cross multiply
    72,327.87x = 108,509.13 × 30,184.51
  4. Step 4: Simplify right side
    72,327.87x = 3,275,294,919.58
  5. Step 5: Solve for x
    x = 3,275,294,919.58/72,327.87
  6. Step 6: Final answer
    x = 45,284.00

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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.