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Finding the Fourth Proportional to 172,647.45, 258,686.06 and 78,946.65

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Solution

The fourth proportional to 172,647.45, 258,686.06 and 78,946.65 is: 118,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,647.45 : 258,686.06 = 78,946.65 : x
  2. Step 2: Convert to fraction form
    172,647.45/258,686.06 = 78,946.65/x
  3. Step 3: Cross multiply
    172,647.45x = 258,686.06 × 78,946.65
  4. Step 4: Simplify right side
    172,647.45x = 20,422,397,443.97
  5. Step 5: Solve for x
    x = 20,422,397,443.97/172,647.45
  6. Step 6: Final answer
    x = 118,289.60

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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.