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Finding the Fourth Proportional to 254,805.80, 382,245.15 and 77,326.70

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Solution

The fourth proportional to 254,805.80, 382,245.15 and 77,326.70 is: 116,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,805.80 : 382,245.15 = 77,326.70 : x
  2. Step 2: Convert to fraction form
    254,805.80/382,245.15 = 77,326.70/x
  3. Step 3: Cross multiply
    254,805.80x = 382,245.15 × 77,326.70
  4. Step 4: Simplify right side
    254,805.80x = 29,557,756,040.51
  5. Step 5: Solve for x
    x = 29,557,756,040.51/254,805.80
  6. Step 6: Final answer
    x = 116,001.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.