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Finding the Fourth Proportional to 212,181.86, 318,282.74 and 70,039.52

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Solution

The fourth proportional to 212,181.86, 318,282.74 and 70,039.52 is: 105,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,181.86 : 318,282.74 = 70,039.52 : x
  2. Step 2: Convert to fraction form
    212,181.86/318,282.74 = 70,039.52/x
  3. Step 3: Cross multiply
    212,181.86x = 318,282.74 × 70,039.52
  4. Step 4: Simplify right side
    212,181.86x = 22,292,368,392.27
  5. Step 5: Solve for x
    x = 22,292,368,392.27/212,181.86
  6. Step 6: Final answer
    x = 105,062.56

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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.