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Finding the Fourth Proportional to 127,288, 190,884 and 102,266.56

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Solution

The fourth proportional to 127,288, 190,884 and 102,266.56 is: 153,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,288 : 190,884 = 102,266.56 : x
  2. Step 2: Convert to fraction form
    127,288/190,884 = 102,266.56/x
  3. Step 3: Cross multiply
    127,288x = 190,884 × 102,266.56
  4. Step 4: Simplify right side
    127,288x = 19,521,050,039.04
  5. Step 5: Solve for x
    x = 19,521,050,039.04/127,288
  6. Step 6: Final answer
    x = 153,361.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.