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Finding the Fourth Proportional to 99,726.40, 149,330.40 and 78,817.60

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Solution

The fourth proportional to 99,726.40, 149,330.40 and 78,817.60 is: 118,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,726.40 : 149,330.40 = 78,817.60 : x
  2. Step 2: Convert to fraction form
    99,726.40/149,330.40 = 78,817.60/x
  3. Step 3: Cross multiply
    99,726.40x = 149,330.40 × 78,817.60
  4. Step 4: Simplify right side
    99,726.40x = 11,769,863,735.04
  5. Step 5: Solve for x
    x = 11,769,863,735.04/99,726.40
  6. Step 6: Final answer
    x = 118,021.54

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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.