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Finding the Fourth Proportional to 80,431.44, 120,569.40 and 30,477.12

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Solution

The fourth proportional to 80,431.44, 120,569.40 and 30,477.12 is: 45,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,431.44 : 120,569.40 = 30,477.12 : x
  2. Step 2: Convert to fraction form
    80,431.44/120,569.40 = 30,477.12/x
  3. Step 3: Cross multiply
    80,431.44x = 120,569.40 × 30,477.12
  4. Step 4: Simplify right side
    80,431.44x = 3,674,608,072.13
  5. Step 5: Solve for x
    x = 3,674,608,072.13/80,431.44
  6. Step 6: Final answer
    x = 45,686.22

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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.