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Finding the Fourth Proportional to 97,797.78, 146,774.43 and 83,920.05

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Solution

The fourth proportional to 97,797.78, 146,774.43 and 83,920.05 is: 125,946.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,797.78 : 146,774.43 = 83,920.05 : x
  2. Step 2: Convert to fraction form
    97,797.78/146,774.43 = 83,920.05/x
  3. Step 3: Cross multiply
    97,797.78x = 146,774.43 × 83,920.05
  4. Step 4: Simplify right side
    97,797.78x = 12,317,317,504.32
  5. Step 5: Solve for x
    x = 12,317,317,504.32/97,797.78
  6. Step 6: Final answer
    x = 125,946.80

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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.