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Finding the Fourth Proportional to 77,807.40, 116,768.70 and 31,093.80

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Solution

The fourth proportional to 77,807.40, 116,768.70 and 31,093.80 is: 46,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.40 : 116,768.70 = 31,093.80 : x
  2. Step 2: Convert to fraction form
    77,807.40/116,768.70 = 31,093.80/x
  3. Step 3: Cross multiply
    77,807.40x = 116,768.70 × 31,093.80
  4. Step 4: Simplify right side
    77,807.40x = 3,630,782,604.06
  5. Step 5: Solve for x
    x = 3,630,782,604.06/77,807.40
  6. Step 6: Final answer
    x = 46,663.72

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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.