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Finding the Fourth Proportional to 205,777.26, 308,586.30 and 70,815.78

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Solution

The fourth proportional to 205,777.26, 308,586.30 and 70,815.78 is: 106,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,777.26 : 308,586.30 = 70,815.78 : x
  2. Step 2: Convert to fraction form
    205,777.26/308,586.30 = 70,815.78/x
  3. Step 3: Cross multiply
    205,777.26x = 308,586.30 × 70,815.78
  4. Step 4: Simplify right side
    205,777.26x = 21,852,779,531.81
  5. Step 5: Solve for x
    x = 21,852,779,531.81/205,777.26
  6. Step 6: Final answer
    x = 106,196.28

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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.