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Finding the Fourth Proportional to 100,028.36, 149,828.69 and 80,970.69

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Solution

The fourth proportional to 100,028.36, 149,828.69 and 80,970.69 is: 121,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,028.36 : 149,828.69 = 80,970.69 : x
  2. Step 2: Convert to fraction form
    100,028.36/149,828.69 = 80,970.69/x
  3. Step 3: Cross multiply
    100,028.36x = 149,828.69 × 80,970.69
  4. Step 4: Simplify right side
    100,028.36x = 12,131,732,006.24
  5. Step 5: Solve for x
    x = 12,131,732,006.24/100,028.36
  6. Step 6: Final answer
    x = 121,282.93

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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.