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Finding the Fourth Proportional to 55,800, 77,004 and 30,649.50

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Solution

The fourth proportional to 55,800, 77,004 and 30,649.50 is: 42,296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,800 : 77,004 = 30,649.50 : x
  2. Step 2: Convert to fraction form
    55,800/77,004 = 30,649.50/x
  3. Step 3: Cross multiply
    55,800x = 77,004 × 30,649.50
  4. Step 4: Simplify right side
    55,800x = 2,360,134,098
  5. Step 5: Solve for x
    x = 2,360,134,098/55,800
  6. Step 6: Final answer
    x = 42,296.31

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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.