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Finding the Fourth Proportional to 117,175.76, 175,761.96 and 28,430

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Solution

The fourth proportional to 117,175.76, 175,761.96 and 28,430 is: 42,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,175.76 : 175,761.96 = 28,430 : x
  2. Step 2: Convert to fraction form
    117,175.76/175,761.96 = 28,430/x
  3. Step 3: Cross multiply
    117,175.76x = 175,761.96 × 28,430
  4. Step 4: Simplify right side
    117,175.76x = 4,996,912,522.80
  5. Step 5: Solve for x
    x = 4,996,912,522.80/117,175.76
  6. Step 6: Final answer
    x = 42,644.59

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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.