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Finding the Fourth Proportional to 203,015.76, 280,242.36 and 137,619.60

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Solution

The fourth proportional to 203,015.76, 280,242.36 and 137,619.60 is: 189,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,015.76 : 280,242.36 = 137,619.60 : x
  2. Step 2: Convert to fraction form
    203,015.76/280,242.36 = 137,619.60/x
  3. Step 3: Cross multiply
    203,015.76x = 280,242.36 × 137,619.60
  4. Step 4: Simplify right side
    203,015.76x = 38,566,841,486.26
  5. Step 5: Solve for x
    x = 38,566,841,486.26/203,015.76
  6. Step 6: Final answer
    x = 189,969.69

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1.5x scale

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.