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Finding the Fourth Proportional to 285,970.02, 428,676.12 and 136,170.06

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Solution

The fourth proportional to 285,970.02, 428,676.12 and 136,170.06 is: 204,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,970.02 : 428,676.12 = 136,170.06 : x
  2. Step 2: Convert to fraction form
    285,970.02/428,676.12 = 136,170.06/x
  3. Step 3: Cross multiply
    285,970.02x = 428,676.12 × 136,170.06
  4. Step 4: Simplify right side
    285,970.02x = 58,372,852,980.97
  5. Step 5: Solve for x
    x = 58,372,852,980.97/285,970.02
  6. Step 6: Final answer
    x = 204,122.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.