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Finding the Fourth Proportional to 54,931, 75,804.78 and 29,780.50

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Solution

The fourth proportional to 54,931, 75,804.78 and 29,780.50 is: 41,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,931 : 75,804.78 = 29,780.50 : x
  2. Step 2: Convert to fraction form
    54,931/75,804.78 = 29,780.50/x
  3. Step 3: Cross multiply
    54,931x = 75,804.78 × 29,780.50
  4. Step 4: Simplify right side
    54,931x = 2,257,504,250.79
  5. Step 5: Solve for x
    x = 2,257,504,250.79/54,931
  6. Step 6: Final answer
    x = 41,097.09

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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.