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Finding the Fourth Proportional to 138,405.26, 190,999.25 and 74,743.05

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Solution

The fourth proportional to 138,405.26, 190,999.25 and 74,743.05 is: 103,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.26 : 190,999.25 = 74,743.05 : x
  2. Step 2: Convert to fraction form
    138,405.26/190,999.25 = 74,743.05/x
  3. Step 3: Cross multiply
    138,405.26x = 190,999.25 × 74,743.05
  4. Step 4: Simplify right side
    138,405.26x = 14,275,866,492.71
  5. Step 5: Solve for x
    x = 14,275,866,492.71/138,405.26
  6. Step 6: Final answer
    x = 103,145.41

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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.