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Finding the Fourth Proportional to 103,676.50, 143,090.85 and 78,482.26

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Solution

The fourth proportional to 103,676.50, 143,090.85 and 78,482.26 is: 108,318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676.50 : 143,090.85 = 78,482.26 : x
  2. Step 2: Convert to fraction form
    103,676.50/143,090.85 = 78,482.26/x
  3. Step 3: Cross multiply
    103,676.50x = 143,090.85 × 78,482.26
  4. Step 4: Simplify right side
    103,676.50x = 11,230,093,293.32
  5. Step 5: Solve for x
    x = 11,230,093,293.32/103,676.50
  6. Step 6: Final answer
    x = 108,318.60

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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.