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Finding the Fourth Proportional to 202,200, 279,036 and 112,776

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Solution

The fourth proportional to 202,200, 279,036 and 112,776 is: 155,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,200 : 279,036 = 112,776 : x
  2. Step 2: Convert to fraction form
    202,200/279,036 = 112,776/x
  3. Step 3: Cross multiply
    202,200x = 279,036 × 112,776
  4. Step 4: Simplify right side
    202,200x = 31,468,563,936
  5. Step 5: Solve for x
    x = 31,468,563,936/202,200
  6. Step 6: Final answer
    x = 155,630.88

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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.