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Finding the Fourth Proportional to 56,146, 77,481.48 and 30,995.68

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Solution

The fourth proportional to 56,146, 77,481.48 and 30,995.68 is: 42,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,146 : 77,481.48 = 30,995.68 : x
  2. Step 2: Convert to fraction form
    56,146/77,481.48 = 30,995.68/x
  3. Step 3: Cross multiply
    56,146x = 77,481.48 × 30,995.68
  4. Step 4: Simplify right side
    56,146x = 2,401,591,160.01
  5. Step 5: Solve for x
    x = 2,401,591,160.01/56,146
  6. Step 6: Final answer
    x = 42,774.04

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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.