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Finding the Fourth Proportional to 200,779.52, 300,709.61 and 100,968.08

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Solution

The fourth proportional to 200,779.52, 300,709.61 and 100,968.08 is: 151,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,779.52 : 300,709.61 = 100,968.08 : x
  2. Step 2: Convert to fraction form
    200,779.52/300,709.61 = 100,968.08/x
  3. Step 3: Cross multiply
    200,779.52x = 300,709.61 × 100,968.08
  4. Step 4: Simplify right side
    200,779.52x = 30,362,071,454.41
  5. Step 5: Solve for x
    x = 30,362,071,454.41/200,779.52
  6. Step 6: Final answer
    x = 151,220.96

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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.