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Finding the Fourth Proportional to 111,783.36, 154,324.80 and 74,108.64

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Solution

The fourth proportional to 111,783.36, 154,324.80 and 74,108.64 is: 102,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,783.36 : 154,324.80 = 74,108.64 : x
  2. Step 2: Convert to fraction form
    111,783.36/154,324.80 = 74,108.64/x
  3. Step 3: Cross multiply
    111,783.36x = 154,324.80 × 74,108.64
  4. Step 4: Simplify right side
    111,783.36x = 11,436,801,046.27
  5. Step 5: Solve for x
    x = 11,436,801,046.27/111,783.36
  6. Step 6: Final answer
    x = 102,312.20

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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.