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Finding the Fourth Proportional to 81,794.70, 122,712.30 and 37,412.10

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Solution

The fourth proportional to 81,794.70, 122,712.30 and 37,412.10 is: 56,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.70 : 122,712.30 = 37,412.10 : x
  2. Step 2: Convert to fraction form
    81,794.70/122,712.30 = 37,412.10/x
  3. Step 3: Cross multiply
    81,794.70x = 122,712.30 × 37,412.10
  4. Step 4: Simplify right side
    81,794.70x = 4,590,924,838.83
  5. Step 5: Solve for x
    x = 4,590,924,838.83/81,794.70
  6. Step 6: Final answer
    x = 56,127.41

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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.