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Finding the Fourth Proportional to 135,455.84, 203,259.28 and 51,272

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Solution

The fourth proportional to 135,455.84, 203,259.28 and 51,272 is: 76,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,455.84 : 203,259.28 = 51,272 : x
  2. Step 2: Convert to fraction form
    135,455.84/203,259.28 = 51,272/x
  3. Step 3: Cross multiply
    135,455.84x = 203,259.28 × 51,272
  4. Step 4: Simplify right side
    135,455.84x = 10,421,509,804.16
  5. Step 5: Solve for x
    x = 10,421,509,804.16/135,455.84
  6. Step 6: Final answer
    x = 76,936.59

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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.