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Finding the Fourth Proportional to 72,578.22, 108,904.32 and 33,130.14

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Solution

The fourth proportional to 72,578.22, 108,904.32 and 33,130.14 is: 49,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,578.22 : 108,904.32 = 33,130.14 : x
  2. Step 2: Convert to fraction form
    72,578.22/108,904.32 = 33,130.14/x
  3. Step 3: Cross multiply
    72,578.22x = 108,904.32 × 33,130.14
  4. Step 4: Simplify right side
    72,578.22x = 3,608,015,368.20
  5. Step 5: Solve for x
    x = 3,608,015,368.20/72,578.22
  6. Step 6: Final answer
    x = 49,712.10

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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.