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Finding the Fourth Proportional to 78,109.84, 117,140.50 and 28,183.44

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Solution

The fourth proportional to 78,109.84, 117,140.50 and 28,183.44 is: 42,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,109.84 : 117,140.50 = 28,183.44 : x
  2. Step 2: Convert to fraction form
    78,109.84/117,140.50 = 28,183.44/x
  3. Step 3: Cross multiply
    78,109.84x = 117,140.50 × 28,183.44
  4. Step 4: Simplify right side
    78,109.84x = 3,301,422,253.32
  5. Step 5: Solve for x
    x = 3,301,422,253.32/78,109.84
  6. Step 6: Final answer
    x = 42,266.41

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1.5x scale

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.