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Finding the Fourth Proportional to 36,078, 54,139.14 and 15,301.50

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Solution

The fourth proportional to 36,078, 54,139.14 and 15,301.50 is: 22,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,078 : 54,139.14 = 15,301.50 : x
  2. Step 2: Convert to fraction form
    36,078/54,139.14 = 15,301.50/x
  3. Step 3: Cross multiply
    36,078x = 54,139.14 × 15,301.50
  4. Step 4: Simplify right side
    36,078x = 828,410,050.71
  5. Step 5: Solve for x
    x = 828,410,050.71/36,078
  6. Step 6: Final answer
    x = 22,961.64

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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.