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Finding the Fourth Proportional to 190,506.48, 285,759.72 and 65,779.44

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Solution

The fourth proportional to 190,506.48, 285,759.72 and 65,779.44 is: 98,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,506.48 : 285,759.72 = 65,779.44 : x
  2. Step 2: Convert to fraction form
    190,506.48/285,759.72 = 65,779.44/x
  3. Step 3: Cross multiply
    190,506.48x = 285,759.72 × 65,779.44
  4. Step 4: Simplify right side
    190,506.48x = 18,797,114,356.16
  5. Step 5: Solve for x
    x = 18,797,114,356.16/190,506.48
  6. Step 6: Final answer
    x = 98,669.16

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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.