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Finding the Fourth Proportional to 106,698.60, 159,837.30 and 54,145.80

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Solution

The fourth proportional to 106,698.60, 159,837.30 and 54,145.80 is: 81,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,698.60 : 159,837.30 = 54,145.80 : x
  2. Step 2: Convert to fraction form
    106,698.60/159,837.30 = 54,145.80/x
  3. Step 3: Cross multiply
    106,698.60x = 159,837.30 × 54,145.80
  4. Step 4: Simplify right side
    106,698.60x = 8,654,518,478.34
  5. Step 5: Solve for x
    x = 8,654,518,478.34/106,698.60
  6. Step 6: Final answer
    x = 81,111.83

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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.