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Finding the Fourth Proportional to 101,902.80, 152,875.80 and 30,819.60

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Solution

The fourth proportional to 101,902.80, 152,875.80 and 30,819.60 is: 46,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,902.80 : 152,875.80 = 30,819.60 : x
  2. Step 2: Convert to fraction form
    101,902.80/152,875.80 = 30,819.60/x
  3. Step 3: Cross multiply
    101,902.80x = 152,875.80 × 30,819.60
  4. Step 4: Simplify right side
    101,902.80x = 4,711,571,005.68
  5. Step 5: Solve for x
    x = 4,711,571,005.68/101,902.80
  6. Step 6: Final answer
    x = 46,235.93

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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.