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Finding the Fourth Proportional to 66,830.63, 100,261.43 and 19,446.84

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Solution

The fourth proportional to 66,830.63, 100,261.43 and 19,446.84 is: 29,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830.63 : 100,261.43 = 19,446.84 : x
  2. Step 2: Convert to fraction form
    66,830.63/100,261.43 = 19,446.84/x
  3. Step 3: Cross multiply
    66,830.63x = 100,261.43 × 19,446.84
  4. Step 4: Simplify right side
    66,830.63x = 1,949,767,890.15
  5. Step 5: Solve for x
    x = 1,949,767,890.15/66,830.63
  6. Step 6: Final answer
    x = 29,174.77

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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.