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Finding the Fourth Proportional to 52,070.80, 78,090.06 and 18,786.54

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Solution

The fourth proportional to 52,070.80, 78,090.06 and 18,786.54 is: 28,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,070.80 : 78,090.06 = 18,786.54 : x
  2. Step 2: Convert to fraction form
    52,070.80/78,090.06 = 18,786.54/x
  3. Step 3: Cross multiply
    52,070.80x = 78,090.06 × 18,786.54
  4. Step 4: Simplify right side
    52,070.80x = 1,467,042,035.79
  5. Step 5: Solve for x
    x = 1,467,042,035.79/52,070.80
  6. Step 6: Final answer
    x = 28,173.99

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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.