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Finding the Fourth Proportional to 100,059.99, 138,090.27 and 57,040.50

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Solution

The fourth proportional to 100,059.99, 138,090.27 and 57,040.50 is: 78,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,059.99 : 138,090.27 = 57,040.50 : x
  2. Step 2: Convert to fraction form
    100,059.99/138,090.27 = 57,040.50/x
  3. Step 3: Cross multiply
    100,059.99x = 138,090.27 × 57,040.50
  4. Step 4: Simplify right side
    100,059.99x = 7,876,738,045.94
  5. Step 5: Solve for x
    x = 7,876,738,045.94/100,059.99
  6. Step 6: Final answer
    x = 78,720.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.