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Finding the Fourth Proportional to 102,223.95, 140,765.73 and 73,493.05

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Solution

The fourth proportional to 102,223.95, 140,765.73 and 73,493.05 is: 101,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223.95 : 140,765.73 = 73,493.05 : x
  2. Step 2: Convert to fraction form
    102,223.95/140,765.73 = 73,493.05/x
  3. Step 3: Cross multiply
    102,223.95x = 140,765.73 × 73,493.05
  4. Step 4: Simplify right side
    102,223.95x = 10,345,302,833.18
  5. Step 5: Solve for x
    x = 10,345,302,833.18/102,223.95
  6. Step 6: Final answer
    x = 101,202.34

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1.5x scale

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.