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Finding the Fourth Proportional to 66,782.82, 100,158.51 and 19,385.40

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Solution

The fourth proportional to 66,782.82, 100,158.51 and 19,385.40 is: 29,073.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.82 : 100,158.51 = 19,385.40 : x
  2. Step 2: Convert to fraction form
    66,782.82/100,158.51 = 19,385.40/x
  3. Step 3: Cross multiply
    66,782.82x = 100,158.51 × 19,385.40
  4. Step 4: Simplify right side
    66,782.82x = 1,941,612,779.75
  5. Step 5: Solve for x
    x = 1,941,612,779.75/66,782.82
  6. Step 6: Final answer
    x = 29,073.54

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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.