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Finding the Fourth Proportional to 55,775, 76,970.04 and 30,625.04

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Solution

The fourth proportional to 55,775, 76,970.04 and 30,625.04 is: 42,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,775 : 76,970.04 = 30,625.04 : x
  2. Step 2: Convert to fraction form
    55,775/76,970.04 = 30,625.04/x
  3. Step 3: Cross multiply
    55,775x = 76,970.04 × 30,625.04
  4. Step 4: Simplify right side
    55,775x = 2,357,210,553.80
  5. Step 5: Solve for x
    x = 2,357,210,553.80/55,775
  6. Step 6: Final answer
    x = 42,262.85

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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.