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Finding the Fourth Proportional to 228,754.64, 315,676.01 and 133,255.16

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Solution

The fourth proportional to 228,754.64, 315,676.01 and 133,255.16 is: 183,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,754.64 : 315,676.01 = 133,255.16 : x
  2. Step 2: Convert to fraction form
    228,754.64/315,676.01 = 133,255.16/x
  3. Step 3: Cross multiply
    228,754.64x = 315,676.01 × 133,255.16
  4. Step 4: Simplify right side
    228,754.64x = 42,065,458,343.04
  5. Step 5: Solve for x
    x = 42,065,458,343.04/228,754.64
  6. Step 6: Final answer
    x = 183,888.99

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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.