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Finding the Fourth Proportional to 77,991.52, 117,054.24 and 31,276.48

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Solution

The fourth proportional to 77,991.52, 117,054.24 and 31,276.48 is: 46,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,991.52 : 117,054.24 = 31,276.48 : x
  2. Step 2: Convert to fraction form
    77,991.52/117,054.24 = 31,276.48/x
  3. Step 3: Cross multiply
    77,991.52x = 117,054.24 × 31,276.48
  4. Step 4: Simplify right side
    77,991.52x = 3,661,044,596.28
  5. Step 5: Solve for x
    x = 3,661,044,596.28/77,991.52
  6. Step 6: Final answer
    x = 46,941.57

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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.