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Finding the Fourth Proportional to 255,294.98, 382,956.87 and 77,807.78

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Solution

The fourth proportional to 255,294.98, 382,956.87 and 77,807.78 is: 116,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,294.98 : 382,956.87 = 77,807.78 : x
  2. Step 2: Convert to fraction form
    255,294.98/382,956.87 = 77,807.78/x
  3. Step 3: Cross multiply
    255,294.98x = 382,956.87 × 77,807.78
  4. Step 4: Simplify right side
    255,294.98x = 29,797,021,975.66
  5. Step 5: Solve for x
    x = 29,797,021,975.66/255,294.98
  6. Step 6: Final answer
    x = 116,716.05

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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.