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Finding the Fourth Proportional to 103,214.80, 154,676.40 and 72,013.60

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Solution

The fourth proportional to 103,214.80, 154,676.40 and 72,013.60 is: 107,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.80 : 154,676.40 = 72,013.60 : x
  2. Step 2: Convert to fraction form
    103,214.80/154,676.40 = 72,013.60/x
  3. Step 3: Cross multiply
    103,214.80x = 154,676.40 × 72,013.60
  4. Step 4: Simplify right side
    103,214.80x = 11,138,804,399.04
  5. Step 5: Solve for x
    x = 11,138,804,399.04/103,214.80
  6. Step 6: Final answer
    x = 107,918.67

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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.