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Finding the Fourth Proportional to 102,611.70, 153,789.05 and 55,110.06

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Solution

The fourth proportional to 102,611.70, 153,789.05 and 55,110.06 is: 82,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611.70 : 153,789.05 = 55,110.06 : x
  2. Step 2: Convert to fraction form
    102,611.70/153,789.05 = 55,110.06/x
  3. Step 3: Cross multiply
    102,611.70x = 153,789.05 × 55,110.06
  4. Step 4: Simplify right side
    102,611.70x = 8,475,323,910.62
  5. Step 5: Solve for x
    x = 8,475,323,910.62/102,611.70
  6. Step 6: Final answer
    x = 82,596.08

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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.