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Finding the Fourth Proportional to 123,705.60, 185,339.70 and 109,708.80

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Solution

The fourth proportional to 123,705.60, 185,339.70 and 109,708.80 is: 164,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,705.60 : 185,339.70 = 109,708.80 : x
  2. Step 2: Convert to fraction form
    123,705.60/185,339.70 = 109,708.80/x
  3. Step 3: Cross multiply
    123,705.60x = 185,339.70 × 109,708.80
  4. Step 4: Simplify right side
    123,705.60x = 20,333,396,079.36
  5. Step 5: Solve for x
    x = 20,333,396,079.36/123,705.60
  6. Step 6: Final answer
    x = 164,369.25

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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.