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Finding the Fourth Proportional to 54,930, 75,811.49 and 34,788.75

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Solution

The fourth proportional to 54,930, 75,811.49 and 34,788.75 is: 48,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930 : 75,811.49 = 34,788.75 : x
  2. Step 2: Convert to fraction form
    54,930/75,811.49 = 34,788.75/x
  3. Step 3: Cross multiply
    54,930x = 75,811.49 × 34,788.75
  4. Step 4: Simplify right side
    54,930x = 2,637,386,798.79
  5. Step 5: Solve for x
    x = 2,637,386,798.79/54,930
  6. Step 6: Final answer
    x = 48,013.60

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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.