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Finding the Fourth Proportional to 78,021.24, 116,978.82 and 30,606.60

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Solution

The fourth proportional to 78,021.24, 116,978.82 and 30,606.60 is: 45,889.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,021.24 : 116,978.82 = 30,606.60 : x
  2. Step 2: Convert to fraction form
    78,021.24/116,978.82 = 30,606.60/x
  3. Step 3: Cross multiply
    78,021.24x = 116,978.82 × 30,606.60
  4. Step 4: Simplify right side
    78,021.24x = 3,580,323,952.21
  5. Step 5: Solve for x
    x = 3,580,323,952.21/78,021.24
  6. Step 6: Final answer
    x = 45,889.09

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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.