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Finding the Fourth Proportional to 55,638, 76,780.47 and 30,487.50

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Solution

The fourth proportional to 55,638, 76,780.47 and 30,487.50 is: 42,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638 : 76,780.47 = 30,487.50 : x
  2. Step 2: Convert to fraction form
    55,638/76,780.47 = 30,487.50/x
  3. Step 3: Cross multiply
    55,638x = 76,780.47 × 30,487.50
  4. Step 4: Simplify right side
    55,638x = 2,340,844,579.13
  5. Step 5: Solve for x
    x = 2,340,844,579.13/55,638
  6. Step 6: Final answer
    x = 42,072.77

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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.