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Finding the Fourth Proportional to 142,727.60, 213,886.60 and 104,993.20

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Solution

The fourth proportional to 142,727.60, 213,886.60 and 104,993.20 is: 157,339.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,727.60 : 213,886.60 = 104,993.20 : x
  2. Step 2: Convert to fraction form
    142,727.60/213,886.60 = 104,993.20/x
  3. Step 3: Cross multiply
    142,727.60x = 213,886.60 × 104,993.20
  4. Step 4: Simplify right side
    142,727.60x = 22,456,638,571.12
  5. Step 5: Solve for x
    x = 22,456,638,571.12/142,727.60
  6. Step 6: Final answer
    x = 157,339.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.