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Finding the Fourth Proportional to 164,764.80, 247,147.20 and 102,556.80

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Solution

The fourth proportional to 164,764.80, 247,147.20 and 102,556.80 is: 153,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,764.80 : 247,147.20 = 102,556.80 : x
  2. Step 2: Convert to fraction form
    164,764.80/247,147.20 = 102,556.80/x
  3. Step 3: Cross multiply
    164,764.80x = 247,147.20 × 102,556.80
  4. Step 4: Simplify right side
    164,764.80x = 25,346,625,960.96
  5. Step 5: Solve for x
    x = 25,346,625,960.96/164,764.80
  6. Step 6: Final answer
    x = 153,835.20

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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.