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Finding the Fourth Proportional to 118,129, 177,193.50 and 30,577

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Solution

The fourth proportional to 118,129, 177,193.50 and 30,577 is: 45,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,129 : 177,193.50 = 30,577 : x
  2. Step 2: Convert to fraction form
    118,129/177,193.50 = 30,577/x
  3. Step 3: Cross multiply
    118,129x = 177,193.50 × 30,577
  4. Step 4: Simplify right side
    118,129x = 5,418,045,649.50
  5. Step 5: Solve for x
    x = 5,418,045,649.50/118,129
  6. Step 6: Final answer
    x = 45,865.50

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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.