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Finding the Fourth Proportional to 81,648, 122,501.16 and 40,124.16

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Solution

The fourth proportional to 81,648, 122,501.16 and 40,124.16 is: 60,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 122,501.16 = 40,124.16 : x
  2. Step 2: Convert to fraction form
    81,648/122,501.16 = 40,124.16/x
  3. Step 3: Cross multiply
    81,648x = 122,501.16 × 40,124.16
  4. Step 4: Simplify right side
    81,648x = 4,915,256,144.03
  5. Step 5: Solve for x
    x = 4,915,256,144.03/81,648
  6. Step 6: Final answer
    x = 60,200.57

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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.