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Finding the Fourth Proportional to 102,775.22, 153,911.22 and 84,896.49

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Solution

The fourth proportional to 102,775.22, 153,911.22 and 84,896.49 is: 127,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,775.22 : 153,911.22 = 84,896.49 : x
  2. Step 2: Convert to fraction form
    102,775.22/153,911.22 = 84,896.49/x
  3. Step 3: Cross multiply
    102,775.22x = 153,911.22 × 84,896.49
  4. Step 4: Simplify right side
    102,775.22x = 13,066,522,349.62
  5. Step 5: Solve for x
    x = 13,066,522,349.62/102,775.22
  6. Step 6: Final answer
    x = 127,136.89

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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.