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Finding the Fourth Proportional to 138,162.26, 190,659.80 and 83,746.64

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Solution

The fourth proportional to 138,162.26, 190,659.80 and 83,746.64 is: 115,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,162.26 : 190,659.80 = 83,746.64 : x
  2. Step 2: Convert to fraction form
    138,162.26/190,659.80 = 83,746.64/x
  3. Step 3: Cross multiply
    138,162.26x = 190,659.80 × 83,746.64
  4. Step 4: Simplify right side
    138,162.26x = 15,967,117,633.07
  5. Step 5: Solve for x
    x = 15,967,117,633.07/138,162.26
  6. Step 6: Final answer
    x = 115,567.87

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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.