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Finding the Fourth Proportional to 130,447.09, 195,708 and 63,906.71

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Solution

The fourth proportional to 130,447.09, 195,708 and 63,906.71 is: 95,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,447.09 : 195,708 = 63,906.71 : x
  2. Step 2: Convert to fraction form
    130,447.09/195,708 = 63,906.71/x
  3. Step 3: Cross multiply
    130,447.09x = 195,708 × 63,906.71
  4. Step 4: Simplify right side
    130,447.09x = 12,507,054,400.68
  5. Step 5: Solve for x
    x = 12,507,054,400.68/130,447.09
  6. Step 6: Final answer
    x = 95,878.37

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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.