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Finding the Fourth Proportional to 202,194, 279,027.72 and 112,770

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Solution

The fourth proportional to 202,194, 279,027.72 and 112,770 is: 155,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,194 : 279,027.72 = 112,770 : x
  2. Step 2: Convert to fraction form
    202,194/279,027.72 = 112,770/x
  3. Step 3: Cross multiply
    202,194x = 279,027.72 × 112,770
  4. Step 4: Simplify right side
    202,194x = 31,465,955,984.40
  5. Step 5: Solve for x
    x = 31,465,955,984.40/202,194
  6. Step 6: Final answer
    x = 155,622.60

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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.