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Finding the Fourth Proportional to 202,156.50, 279,065.64 and 130,571.43

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Solution

The fourth proportional to 202,156.50, 279,065.64 and 130,571.43 is: 180,246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,156.50 : 279,065.64 = 130,571.43 : x
  2. Step 2: Convert to fraction form
    202,156.50/279,065.64 = 130,571.43/x
  3. Step 3: Cross multiply
    202,156.50x = 279,065.64 × 130,571.43
  4. Step 4: Simplify right side
    202,156.50x = 36,437,999,678.67
  5. Step 5: Solve for x
    x = 36,437,999,678.67/202,156.50
  6. Step 6: Final answer
    x = 180,246.49

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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.