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Finding the Fourth Proportional to 202,164.45, 279,076.64 and 130,579.40

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Solution

The fourth proportional to 202,164.45, 279,076.64 and 130,579.40 is: 180,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.45 : 279,076.64 = 130,579.40 : x
  2. Step 2: Convert to fraction form
    202,164.45/279,076.64 = 130,579.40/x
  3. Step 3: Cross multiply
    202,164.45x = 279,076.64 × 130,579.40
  4. Step 4: Simplify right side
    202,164.45x = 36,441,658,156.94
  5. Step 5: Solve for x
    x = 36,441,658,156.94/202,164.45
  6. Step 6: Final answer
    x = 180,257.50

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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.