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Finding the Fourth Proportional to 133,731.58, 200,775.54 and 77,611.98

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Solution

The fourth proportional to 133,731.58, 200,775.54 and 77,611.98 is: 116,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,731.58 : 200,775.54 = 77,611.98 : x
  2. Step 2: Convert to fraction form
    133,731.58/200,775.54 = 77,611.98/x
  3. Step 3: Cross multiply
    133,731.58x = 200,775.54 × 77,611.98
  4. Step 4: Simplify right side
    133,731.58x = 15,582,587,194.97
  5. Step 5: Solve for x
    x = 15,582,587,194.97/133,731.58
  6. Step 6: Final answer
    x = 116,521.37

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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.