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Finding the Fourth Proportional to 80,967.40, 121,364.70 and 31,028.20

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Solution

The fourth proportional to 80,967.40, 121,364.70 and 31,028.20 is: 46,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,967.40 : 121,364.70 = 31,028.20 : x
  2. Step 2: Convert to fraction form
    80,967.40/121,364.70 = 31,028.20/x
  3. Step 3: Cross multiply
    80,967.40x = 121,364.70 × 31,028.20
  4. Step 4: Simplify right side
    80,967.40x = 3,765,728,184.54
  5. Step 5: Solve for x
    x = 3,765,728,184.54/80,967.40
  6. Step 6: Final answer
    x = 46,509.19

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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.