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Finding the Fourth Proportional to 212,811.60, 319,071.60 and 100,545.60

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Solution

The fourth proportional to 212,811.60, 319,071.60 and 100,545.60 is: 150,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,811.60 : 319,071.60 = 100,545.60 : x
  2. Step 2: Convert to fraction form
    212,811.60/319,071.60 = 100,545.60/x
  3. Step 3: Cross multiply
    212,811.60x = 319,071.60 × 100,545.60
  4. Step 4: Simplify right side
    212,811.60x = 32,081,245,464.96
  5. Step 5: Solve for x
    x = 32,081,245,464.96/212,811.60
  6. Step 6: Final answer
    x = 150,749.51

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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.