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Finding the Fourth Proportional to 212,468.81, 318,722.70 and 54,697.77

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Solution

The fourth proportional to 212,468.81, 318,722.70 and 54,697.77 is: 82,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,468.81 : 318,722.70 = 54,697.77 : x
  2. Step 2: Convert to fraction form
    212,468.81/318,722.70 = 54,697.77/x
  3. Step 3: Cross multiply
    212,468.81x = 318,722.70 × 54,697.77
  4. Step 4: Simplify right side
    212,468.81x = 17,433,420,664.89
  5. Step 5: Solve for x
    x = 17,433,420,664.89/212,468.81
  6. Step 6: Final answer
    x = 82,051.67

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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.