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Finding the Fourth Proportional to 102,034.92, 152,768.34 and 76,999.08

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Solution

The fourth proportional to 102,034.92, 152,768.34 and 76,999.08 is: 115,284.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.92 : 152,768.34 = 76,999.08 : x
  2. Step 2: Convert to fraction form
    102,034.92/152,768.34 = 76,999.08/x
  3. Step 3: Cross multiply
    102,034.92x = 152,768.34 × 76,999.08
  4. Step 4: Simplify right side
    102,034.92x = 11,763,021,633.13
  5. Step 5: Solve for x
    x = 11,763,021,633.13/102,034.92
  6. Step 6: Final answer
    x = 115,284.27

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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.