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Finding the Fourth Proportional to 78,362.60, 117,560.14 and 35,647.67

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Solution

The fourth proportional to 78,362.60, 117,560.14 and 35,647.67 is: 53,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362.60 : 117,560.14 = 35,647.67 : x
  2. Step 2: Convert to fraction form
    78,362.60/117,560.14 = 35,647.67/x
  3. Step 3: Cross multiply
    78,362.60x = 117,560.14 × 35,647.67
  4. Step 4: Simplify right side
    78,362.60x = 4,190,745,280.65
  5. Step 5: Solve for x
    x = 4,190,745,280.65/78,362.60
  6. Step 6: Final answer
    x = 53,478.90

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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.