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Finding the Fourth Proportional to 212,980.60, 319,730.10 and 107,745.40

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Solution

The fourth proportional to 212,980.60, 319,730.10 and 107,745.40 is: 161,749.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,980.60 : 319,730.10 = 107,745.40 : x
  2. Step 2: Convert to fraction form
    212,980.60/319,730.10 = 107,745.40/x
  3. Step 3: Cross multiply
    212,980.60x = 319,730.10 × 107,745.40
  4. Step 4: Simplify right side
    212,980.60x = 34,449,447,516.54
  5. Step 5: Solve for x
    x = 34,449,447,516.54/212,980.60
  6. Step 6: Final answer
    x = 161,749.23

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1.5x scale

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.