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Finding the Fourth Proportional to 56,481.64, 77,946.11 and 30,989.10

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Solution

The fourth proportional to 56,481.64, 77,946.11 and 30,989.10 is: 42,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,481.64 : 77,946.11 = 30,989.10 : x
  2. Step 2: Convert to fraction form
    56,481.64/77,946.11 = 30,989.10/x
  3. Step 3: Cross multiply
    56,481.64x = 77,946.11 × 30,989.10
  4. Step 4: Simplify right side
    56,481.64x = 2,415,479,797.40
  5. Step 5: Solve for x
    x = 2,415,479,797.40/56,481.64
  6. Step 6: Final answer
    x = 42,765.75

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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.