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Finding the Fourth Proportional to 255,295.55, 382,957.71 and 77,808.35

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Solution

The fourth proportional to 255,295.55, 382,957.71 and 77,808.35 is: 116,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,295.55 : 382,957.71 = 77,808.35 : x
  2. Step 2: Convert to fraction form
    255,295.55/382,957.71 = 77,808.35/x
  3. Step 3: Cross multiply
    255,295.55x = 382,957.71 × 77,808.35
  4. Step 4: Simplify right side
    255,295.55x = 29,797,305,620.09
  5. Step 5: Solve for x
    x = 29,797,305,620.09/255,295.55
  6. Step 6: Final answer
    x = 116,716.90

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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.