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Finding the Fourth Proportional to 202,362, 279,260.64 and 112,938

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Solution

The fourth proportional to 202,362, 279,260.64 and 112,938 is: 155,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362 : 279,260.64 = 112,938 : x
  2. Step 2: Convert to fraction form
    202,362/279,260.64 = 112,938/x
  3. Step 3: Cross multiply
    202,362x = 279,260.64 × 112,938
  4. Step 4: Simplify right side
    202,362x = 31,539,138,160.32
  5. Step 5: Solve for x
    x = 31,539,138,160.32/202,362
  6. Step 6: Final answer
    x = 155,855.04

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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.