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Finding the Fourth Proportional to 42,868.64, 64,198.64 and 29,684

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Solution

The fourth proportional to 42,868.64, 64,198.64 and 29,684 is: 44,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,868.64 : 64,198.64 = 29,684 : x
  2. Step 2: Convert to fraction form
    42,868.64/64,198.64 = 29,684/x
  3. Step 3: Cross multiply
    42,868.64x = 64,198.64 × 29,684
  4. Step 4: Simplify right side
    42,868.64x = 1,905,672,429.76
  5. Step 5: Solve for x
    x = 1,905,672,429.76/42,868.64
  6. Step 6: Final answer
    x = 44,453.76

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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.