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Finding the Fourth Proportional to 130,644.54, 195,975.72 and 51,758.64

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Solution

The fourth proportional to 130,644.54, 195,975.72 and 51,758.64 is: 77,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,644.54 : 195,975.72 = 51,758.64 : x
  2. Step 2: Convert to fraction form
    130,644.54/195,975.72 = 51,758.64/x
  3. Step 3: Cross multiply
    130,644.54x = 195,975.72 × 51,758.64
  4. Step 4: Simplify right side
    130,644.54x = 10,143,436,740.22
  5. Step 5: Solve for x
    x = 10,143,436,740.22/130,644.54
  6. Step 6: Final answer
    x = 77,641.49

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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.