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Finding the Fourth Proportional to 255,177.54, 382,821.66 and 77,679.95

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Solution

The fourth proportional to 255,177.54, 382,821.66 and 77,679.95 is: 116,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,177.54 : 382,821.66 = 77,679.95 : x
  2. Step 2: Convert to fraction form
    255,177.54/382,821.66 = 77,679.95/x
  3. Step 3: Cross multiply
    255,177.54x = 382,821.66 × 77,679.95
  4. Step 4: Simplify right side
    255,177.54x = 29,737,565,493.61
  5. Step 5: Solve for x
    x = 29,737,565,493.61/255,177.54
  6. Step 6: Final answer
    x = 116,536.77

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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.