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Finding the Fourth Proportional to 183,600, 253,328.96 and 108,120.96

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Solution

The fourth proportional to 183,600, 253,328.96 and 108,120.96 is: 149,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,600 : 253,328.96 = 108,120.96 : x
  2. Step 2: Convert to fraction form
    183,600/253,328.96 = 108,120.96/x
  3. Step 3: Cross multiply
    183,600x = 253,328.96 × 108,120.96
  4. Step 4: Simplify right side
    183,600x = 27,390,170,351.00
  5. Step 5: Solve for x
    x = 27,390,170,351.00/183,600
  6. Step 6: Final answer
    x = 149,183.93

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1.5x scale

Why These Related Problems?

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