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Finding the Fourth Proportional to 82,007.79, 122,933.93 and 40,406.19

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Solution

The fourth proportional to 82,007.79, 122,933.93 and 40,406.19 is: 60,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007.79 : 122,933.93 = 40,406.19 : x
  2. Step 2: Convert to fraction form
    82,007.79/122,933.93 = 40,406.19/x
  3. Step 3: Cross multiply
    82,007.79x = 122,933.93 × 40,406.19
  4. Step 4: Simplify right side
    82,007.79x = 4,967,291,531.00
  5. Step 5: Solve for x
    x = 4,967,291,531.00/82,007.79
  6. Step 6: Final answer
    x = 60,570.97

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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.