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Finding the Fourth Proportional to 255,293.98, 382,955.37 and 77,806.78

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Solution

The fourth proportional to 255,293.98, 382,955.37 and 77,806.78 is: 116,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,293.98 : 382,955.37 = 77,806.78 : x
  2. Step 2: Convert to fraction form
    255,293.98/382,955.37 = 77,806.78/x
  3. Step 3: Cross multiply
    255,293.98x = 382,955.37 × 77,806.78
  4. Step 4: Simplify right side
    255,293.98x = 29,796,521,919.60
  5. Step 5: Solve for x
    x = 29,796,521,919.60/255,293.98
  6. Step 6: Final answer
    x = 116,714.55

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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.