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Finding the Fourth Proportional to 78,328.44, 117,396.44 and 30,895.92

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Solution

The fourth proportional to 78,328.44, 117,396.44 and 30,895.92 is: 46,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,328.44 : 117,396.44 = 30,895.92 : x
  2. Step 2: Convert to fraction form
    78,328.44/117,396.44 = 30,895.92/x
  3. Step 3: Cross multiply
    78,328.44x = 117,396.44 × 30,895.92
  4. Step 4: Simplify right side
    78,328.44x = 3,627,070,864.05
  5. Step 5: Solve for x
    x = 3,627,070,864.05/78,328.44
  6. Step 6: Final answer
    x = 46,305.92

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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.