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Finding the Fourth Proportional to 107,583.90, 161,348.40 and 76,287.90

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Solution

The fourth proportional to 107,583.90, 161,348.40 and 76,287.90 is: 114,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,583.90 : 161,348.40 = 76,287.90 : x
  2. Step 2: Convert to fraction form
    107,583.90/161,348.40 = 76,287.90/x
  3. Step 3: Cross multiply
    107,583.90x = 161,348.40 × 76,287.90
  4. Step 4: Simplify right side
    107,583.90x = 12,308,930,604.36
  5. Step 5: Solve for x
    x = 12,308,930,604.36/107,583.90
  6. Step 6: Final answer
    x = 114,412.39

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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.