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Finding the Fourth Proportional to 72,140.63, 108,230.91 and 30,040.51

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Solution

The fourth proportional to 72,140.63, 108,230.91 and 30,040.51 is: 45,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,140.63 : 108,230.91 = 30,040.51 : x
  2. Step 2: Convert to fraction form
    72,140.63/108,230.91 = 30,040.51/x
  3. Step 3: Cross multiply
    72,140.63x = 108,230.91 × 30,040.51
  4. Step 4: Simplify right side
    72,140.63x = 3,251,311,734.16
  5. Step 5: Solve for x
    x = 3,251,311,734.16/72,140.63
  6. Step 6: Final answer
    x = 45,069.08

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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.