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Finding the Fourth Proportional to 135,838.89, 203,751.75 and 51,592.47

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Solution

The fourth proportional to 135,838.89, 203,751.75 and 51,592.47 is: 77,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,838.89 : 203,751.75 = 51,592.47 : x
  2. Step 2: Convert to fraction form
    135,838.89/203,751.75 = 51,592.47/x
  3. Step 3: Cross multiply
    135,838.89x = 203,751.75 × 51,592.47
  4. Step 4: Simplify right side
    135,838.89x = 10,512,056,049.32
  5. Step 5: Solve for x
    x = 10,512,056,049.32/135,838.89
  6. Step 6: Final answer
    x = 77,386.20

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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.