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Finding the Fourth Proportional to 135,889.86, 187,521.69 and 75,464.37

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Solution

The fourth proportional to 135,889.86, 187,521.69 and 75,464.37 is: 104,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,889.86 : 187,521.69 = 75,464.37 : x
  2. Step 2: Convert to fraction form
    135,889.86/187,521.69 = 75,464.37/x
  3. Step 3: Cross multiply
    135,889.86x = 187,521.69 × 75,464.37
  4. Step 4: Simplify right side
    135,889.86x = 14,151,206,197.19
  5. Step 5: Solve for x
    x = 14,151,206,197.19/135,889.86
  6. Step 6: Final answer
    x = 104,137.32

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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.