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Finding the Fourth Proportional to 78,321.87, 117,386.48 and 30,889.35

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Solution

The fourth proportional to 78,321.87, 117,386.48 and 30,889.35 is: 46,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.87 : 117,386.48 = 30,889.35 : x
  2. Step 2: Convert to fraction form
    78,321.87/117,386.48 = 30,889.35/x
  3. Step 3: Cross multiply
    78,321.87x = 117,386.48 × 30,889.35
  4. Step 4: Simplify right side
    78,321.87x = 3,625,991,324.61
  5. Step 5: Solve for x
    x = 3,625,991,324.61/78,321.87
  6. Step 6: Final answer
    x = 46,296.03

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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.