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Finding the Fourth Proportional to 128,505, 177,430.44 and 103,150.83

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Solution

The fourth proportional to 128,505, 177,430.44 and 103,150.83 is: 142,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,505 : 177,430.44 = 103,150.83 : x
  2. Step 2: Convert to fraction form
    128,505/177,430.44 = 103,150.83/x
  3. Step 3: Cross multiply
    128,505x = 177,430.44 × 103,150.83
  4. Step 4: Simplify right side
    128,505x = 18,302,097,153.27
  5. Step 5: Solve for x
    x = 18,302,097,153.27/128,505
  6. Step 6: Final answer
    x = 142,423.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.