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Finding the Fourth Proportional to 202,880, 279,975.36 and 113,456

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Solution

The fourth proportional to 202,880, 279,975.36 and 113,456 is: 156,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,880 : 279,975.36 = 113,456 : x
  2. Step 2: Convert to fraction form
    202,880/279,975.36 = 113,456/x
  3. Step 3: Cross multiply
    202,880x = 279,975.36 × 113,456
  4. Step 4: Simplify right side
    202,880x = 31,764,884,444.16
  5. Step 5: Solve for x
    x = 31,764,884,444.16/202,880
  6. Step 6: Final answer
    x = 156,569.82

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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.