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Finding the Fourth Proportional to 138,405.60, 190,999.72 and 74,743.40

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Solution

The fourth proportional to 138,405.60, 190,999.72 and 74,743.40 is: 103,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.60 : 190,999.72 = 74,743.40 : x
  2. Step 2: Convert to fraction form
    138,405.60/190,999.72 = 74,743.40/x
  3. Step 3: Cross multiply
    138,405.60x = 190,999.72 × 74,743.40
  4. Step 4: Simplify right side
    138,405.60x = 14,275,967,329.99
  5. Step 5: Solve for x
    x = 14,275,967,329.99/138,405.60
  6. Step 6: Final answer
    x = 103,145.88

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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.