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Finding the Fourth Proportional to 138,405.32, 190,999.34 and 74,743.11

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Solution

The fourth proportional to 138,405.32, 190,999.34 and 74,743.11 is: 103,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.32 : 190,999.34 = 74,743.11 : x
  2. Step 2: Convert to fraction form
    138,405.32/190,999.34 = 74,743.11/x
  3. Step 3: Cross multiply
    138,405.32x = 190,999.34 × 74,743.11
  4. Step 4: Simplify right side
    138,405.32x = 14,275,884,586.12
  5. Step 5: Solve for x
    x = 14,275,884,586.12/138,405.32
  6. Step 6: Final answer
    x = 103,145.49

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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.