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Finding the Fourth Proportional to 138,405.63, 190,999.77 and 74,743.42

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Solution

The fourth proportional to 138,405.63, 190,999.77 and 74,743.42 is: 103,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.63 : 190,999.77 = 74,743.42 : x
  2. Step 2: Convert to fraction form
    138,405.63/190,999.77 = 74,743.42/x
  3. Step 3: Cross multiply
    138,405.63x = 190,999.77 × 74,743.42
  4. Step 4: Simplify right side
    138,405.63x = 14,275,976,506.51
  5. Step 5: Solve for x
    x = 14,275,976,506.51/138,405.63
  6. Step 6: Final answer
    x = 103,145.92

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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.