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Finding the Fourth Proportional to 52,056, 78,086.16 and 15,120

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Solution

The fourth proportional to 52,056, 78,086.16 and 15,120 is: 22,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,056 : 78,086.16 = 15,120 : x
  2. Step 2: Convert to fraction form
    52,056/78,086.16 = 15,120/x
  3. Step 3: Cross multiply
    52,056x = 78,086.16 × 15,120
  4. Step 4: Simplify right side
    52,056x = 1,180,662,739.20
  5. Step 5: Solve for x
    x = 1,180,662,739.20/52,056
  6. Step 6: Final answer
    x = 22,680.63

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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.