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Finding the Fourth Proportional to 100,971.54, 151,457.29 and 27,099.54

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Solution

The fourth proportional to 100,971.54, 151,457.29 and 27,099.54 is: 40,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,971.54 : 151,457.29 = 27,099.54 : x
  2. Step 2: Convert to fraction form
    100,971.54/151,457.29 = 27,099.54/x
  3. Step 3: Cross multiply
    100,971.54x = 151,457.29 × 27,099.54
  4. Step 4: Simplify right side
    100,971.54x = 4,104,422,888.65
  5. Step 5: Solve for x
    x = 4,104,422,888.65/100,971.54
  6. Step 6: Final answer
    x = 40,649.30

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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.