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Finding the Fourth Proportional to 142,912.16, 197,223.48 and 79,256

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Solution

The fourth proportional to 142,912.16, 197,223.48 and 79,256 is: 109,375.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912.16 : 197,223.48 = 79,256 : x
  2. Step 2: Convert to fraction form
    142,912.16/197,223.48 = 79,256/x
  3. Step 3: Cross multiply
    142,912.16x = 197,223.48 × 79,256
  4. Step 4: Simplify right side
    142,912.16x = 15,631,144,130.88
  5. Step 5: Solve for x
    x = 15,631,144,130.88/142,912.16
  6. Step 6: Final answer
    x = 109,375.89

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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.