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Finding the Fourth Proportional to 99,779, 149,698.20 and 57,648.80

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Solution

The fourth proportional to 99,779, 149,698.20 and 57,648.80 is: 86,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,779 : 149,698.20 = 57,648.80 : x
  2. Step 2: Convert to fraction form
    99,779/149,698.20 = 57,648.80/x
  3. Step 3: Cross multiply
    99,779x = 149,698.20 × 57,648.80
  4. Step 4: Simplify right side
    99,779x = 8,629,921,592.16
  5. Step 5: Solve for x
    x = 8,629,921,592.16/99,779
  6. Step 6: Final answer
    x = 86,490.36

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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.