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Finding the Fourth Proportional to 51,653.94, 71,284.77 and 40,456.50

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Solution

The fourth proportional to 51,653.94, 71,284.77 and 40,456.50 is: 55,831.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,653.94 : 71,284.77 = 40,456.50 : x
  2. Step 2: Convert to fraction form
    51,653.94/71,284.77 = 40,456.50/x
  3. Step 3: Cross multiply
    51,653.94x = 71,284.77 × 40,456.50
  4. Step 4: Simplify right side
    51,653.94x = 2,883,932,297.51
  5. Step 5: Solve for x
    x = 2,883,932,297.51/51,653.94
  6. Step 6: Final answer
    x = 55,831.80

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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.