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Finding the Fourth Proportional to 54,909, 75,782.55 and 34,767.75

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Solution

The fourth proportional to 54,909, 75,782.55 and 34,767.75 is: 47,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,909 : 75,782.55 = 34,767.75 : x
  2. Step 2: Convert to fraction form
    54,909/75,782.55 = 34,767.75/x
  3. Step 3: Cross multiply
    54,909x = 75,782.55 × 34,767.75
  4. Step 4: Simplify right side
    54,909x = 2,634,788,752.76
  5. Step 5: Solve for x
    x = 2,634,788,752.76/54,909
  6. Step 6: Final answer
    x = 47,984.64

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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.