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Finding the Fourth Proportional to 78,482.45, 117,723.67 and 23,078.45

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Solution

The fourth proportional to 78,482.45, 117,723.67 and 23,078.45 is: 34,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,482.45 : 117,723.67 = 23,078.45 : x
  2. Step 2: Convert to fraction form
    78,482.45/117,723.67 = 23,078.45/x
  3. Step 3: Cross multiply
    78,482.45x = 117,723.67 × 23,078.45
  4. Step 4: Simplify right side
    78,482.45x = 2,716,879,844.88
  5. Step 5: Solve for x
    x = 2,716,879,844.88/78,482.45
  6. Step 6: Final answer
    x = 34,617.67

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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.