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Finding the Fourth Proportional to 255,178.54, 382,823.16 and 77,680.95

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Solution

The fourth proportional to 255,178.54, 382,823.16 and 77,680.95 is: 116,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,178.54 : 382,823.16 = 77,680.95 : x
  2. Step 2: Convert to fraction form
    255,178.54/382,823.16 = 77,680.95/x
  3. Step 3: Cross multiply
    255,178.54x = 382,823.16 × 77,680.95
  4. Step 4: Simplify right side
    255,178.54x = 29,738,066,750.80
  5. Step 5: Solve for x
    x = 29,738,066,750.80/255,178.54
  6. Step 6: Final answer
    x = 116,538.27

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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.