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Finding the Fourth Proportional to 72,999.86, 109,357.76 and 47,963.84

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Solution

The fourth proportional to 72,999.86, 109,357.76 and 47,963.84 is: 71,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,999.86 : 109,357.76 = 47,963.84 : x
  2. Step 2: Convert to fraction form
    72,999.86/109,357.76 = 47,963.84/x
  3. Step 3: Cross multiply
    72,999.86x = 109,357.76 × 47,963.84
  4. Step 4: Simplify right side
    72,999.86x = 5,245,217,556.61
  5. Step 5: Solve for x
    x = 5,245,217,556.61/72,999.86
  6. Step 6: Final answer
    x = 71,852.44

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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.