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Finding the Fourth Proportional to 78,183, 117,274.50 and 34,407

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Solution

The fourth proportional to 78,183, 117,274.50 and 34,407 is: 51,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183 : 117,274.50 = 34,407 : x
  2. Step 2: Convert to fraction form
    78,183/117,274.50 = 34,407/x
  3. Step 3: Cross multiply
    78,183x = 117,274.50 × 34,407
  4. Step 4: Simplify right side
    78,183x = 4,035,063,721.50
  5. Step 5: Solve for x
    x = 4,035,063,721.50/78,183
  6. Step 6: Final answer
    x = 51,610.50

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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.