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Finding the Fourth Proportional to 78,388.40, 117,602.85 and 34,004.99

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Solution

The fourth proportional to 78,388.40, 117,602.85 and 34,004.99 is: 51,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.40 : 117,602.85 = 34,004.99 : x
  2. Step 2: Convert to fraction form
    78,388.40/117,602.85 = 34,004.99/x
  3. Step 3: Cross multiply
    78,388.40x = 117,602.85 × 34,004.99
  4. Step 4: Simplify right side
    78,388.40x = 3,999,083,738.22
  5. Step 5: Solve for x
    x = 3,999,083,738.22/78,388.40
  6. Step 6: Final answer
    x = 51,016.27

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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.