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Finding the Fourth Proportional to 55,136, 82,681.68 and 28,823.96

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Solution

The fourth proportional to 55,136, 82,681.68 and 28,823.96 is: 43,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,136 : 82,681.68 = 28,823.96 : x
  2. Step 2: Convert to fraction form
    55,136/82,681.68 = 28,823.96/x
  3. Step 3: Cross multiply
    55,136x = 82,681.68 × 28,823.96
  4. Step 4: Simplify right side
    55,136x = 2,383,213,437.05
  5. Step 5: Solve for x
    x = 2,383,213,437.05/55,136
  6. Step 6: Final answer
    x = 43,224.27

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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.