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Finding the Fourth Proportional to 212,208.76, 318,308.44 and 99,826.64

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Solution

The fourth proportional to 212,208.76, 318,308.44 and 99,826.64 is: 149,737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,208.76 : 318,308.44 = 99,826.64 : x
  2. Step 2: Convert to fraction form
    212,208.76/318,308.44 = 99,826.64/x
  3. Step 3: Cross multiply
    212,208.76x = 318,308.44 × 99,826.64
  4. Step 4: Simplify right side
    212,208.76x = 31,775,662,048.84
  5. Step 5: Solve for x
    x = 31,775,662,048.84/212,208.76
  6. Step 6: Final answer
    x = 149,737.75

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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.