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Finding the Fourth Proportional to 203,350.50, 305,070.42 and 83,408.16

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Solution

The fourth proportional to 203,350.50, 305,070.42 and 83,408.16 is: 125,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,350.50 : 305,070.42 = 83,408.16 : x
  2. Step 2: Convert to fraction form
    203,350.50/305,070.42 = 83,408.16/x
  3. Step 3: Cross multiply
    203,350.50x = 305,070.42 × 83,408.16
  4. Step 4: Simplify right side
    203,350.50x = 25,445,362,402.63
  5. Step 5: Solve for x
    x = 25,445,362,402.63/203,350.50
  6. Step 6: Final answer
    x = 125,130.56

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1.5x scale

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.