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Finding the Fourth Proportional to 75,980.70, 104,857.38 and 45,775.53

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Solution

The fourth proportional to 75,980.70, 104,857.38 and 45,775.53 is: 63,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980.70 : 104,857.38 = 45,775.53 : x
  2. Step 2: Convert to fraction form
    75,980.70/104,857.38 = 45,775.53/x
  3. Step 3: Cross multiply
    75,980.70x = 104,857.38 × 45,775.53
  4. Step 4: Simplify right side
    75,980.70x = 4,799,902,143.91
  5. Step 5: Solve for x
    x = 4,799,902,143.91/75,980.70
  6. Step 6: Final answer
    x = 63,172.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.