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Finding the Fourth Proportional to 202,921.40, 280,039.79 and 112,275.89

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Solution

The fourth proportional to 202,921.40, 280,039.79 and 112,275.89 is: 154,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,921.40 : 280,039.79 = 112,275.89 : x
  2. Step 2: Convert to fraction form
    202,921.40/280,039.79 = 112,275.89/x
  3. Step 3: Cross multiply
    202,921.40x = 280,039.79 × 112,275.89
  4. Step 4: Simplify right side
    202,921.40x = 31,441,716,096.28
  5. Step 5: Solve for x
    x = 31,441,716,096.28/202,921.40
  6. Step 6: Final answer
    x = 154,945.29

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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.