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Finding the Fourth Proportional to 85,132, 117,428.88 and 61,220.80

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Solution

The fourth proportional to 85,132, 117,428.88 and 61,220.80 is: 84,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,132 : 117,428.88 = 61,220.80 : x
  2. Step 2: Convert to fraction form
    85,132/117,428.88 = 61,220.80/x
  3. Step 3: Cross multiply
    85,132x = 117,428.88 × 61,220.80
  4. Step 4: Simplify right side
    85,132x = 7,189,089,976.70
  5. Step 5: Solve for x
    x = 7,189,089,976.70/85,132
  6. Step 6: Final answer
    x = 84,446.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.