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Finding the Fourth Proportional to 56,648, 78,120.60 and 41,320.64

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Solution

The fourth proportional to 56,648, 78,120.60 and 41,320.64 is: 56,983.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,648 : 78,120.60 = 41,320.64 : x
  2. Step 2: Convert to fraction form
    56,648/78,120.60 = 41,320.64/x
  3. Step 3: Cross multiply
    56,648x = 78,120.60 × 41,320.64
  4. Step 4: Simplify right side
    56,648x = 3,227,993,189.18
  5. Step 5: Solve for x
    x = 3,227,993,189.18/56,648
  6. Step 6: Final answer
    x = 56,983.36

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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.