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Finding the Fourth Proportional to 56,078.64, 77,388.15 and 30,928.14

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Solution

The fourth proportional to 56,078.64, 77,388.15 and 30,928.14 is: 42,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,078.64 : 77,388.15 = 30,928.14 : x
  2. Step 2: Convert to fraction form
    56,078.64/77,388.15 = 30,928.14/x
  3. Step 3: Cross multiply
    56,078.64x = 77,388.15 × 30,928.14
  4. Step 4: Simplify right side
    56,078.64x = 2,393,471,537.54
  5. Step 5: Solve for x
    x = 2,393,471,537.54/56,078.64
  6. Step 6: Final answer
    x = 42,680.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.