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Finding the Fourth Proportional to 76,843, 115,220.22 and 30,070.36

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Solution

The fourth proportional to 76,843, 115,220.22 and 30,070.36 is: 45,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843 : 115,220.22 = 30,070.36 : x
  2. Step 2: Convert to fraction form
    76,843/115,220.22 = 30,070.36/x
  3. Step 3: Cross multiply
    76,843x = 115,220.22 × 30,070.36
  4. Step 4: Simplify right side
    76,843x = 3,464,713,494.68
  5. Step 5: Solve for x
    x = 3,464,713,494.68/76,843
  6. Step 6: Final answer
    x = 45,088.21

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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.