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Finding the Fourth Proportional to 147,138.25, 203,051.60 and 80,070.25

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Solution

The fourth proportional to 147,138.25, 203,051.60 and 80,070.25 is: 110,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,138.25 : 203,051.60 = 80,070.25 : x
  2. Step 2: Convert to fraction form
    147,138.25/203,051.60 = 80,070.25/x
  3. Step 3: Cross multiply
    147,138.25x = 203,051.60 × 80,070.25
  4. Step 4: Simplify right side
    147,138.25x = 16,258,392,374.90
  5. Step 5: Solve for x
    x = 16,258,392,374.90/147,138.25
  6. Step 6: Final answer
    x = 110,497.39

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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.