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Finding the Fourth Proportional to 136,993.37, 189,034.47 and 75,731.31

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Solution

The fourth proportional to 136,993.37, 189,034.47 and 75,731.31 is: 104,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,993.37 : 189,034.47 = 75,731.31 : x
  2. Step 2: Convert to fraction form
    136,993.37/189,034.47 = 75,731.31/x
  3. Step 3: Cross multiply
    136,993.37x = 189,034.47 × 75,731.31
  4. Step 4: Simplify right side
    136,993.37x = 14,315,828,048.26
  5. Step 5: Solve for x
    x = 14,315,828,048.26/136,993.37
  6. Step 6: Final answer
    x = 104,500.16

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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.