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Finding the Fourth Proportional to 72,694.30, 102,005.30 and 72,694.30

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Solution

The fourth proportional to 72,694.30, 102,005.30 and 72,694.30 is: 102,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.30 : 102,005.30 = 72,694.30 : x
  2. Step 2: Convert to fraction form
    72,694.30/102,005.30 = 72,694.30/x
  3. Step 3: Cross multiply
    72,694.30x = 102,005.30 × 72,694.30
  4. Step 4: Simplify right side
    72,694.30x = 7,415,203,879.79
  5. Step 5: Solve for x
    x = 7,415,203,879.79/72,694.30
  6. Step 6: Final answer
    x = 102,005.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.