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Finding the Fourth Proportional to 255,208.61, 382,869.86 and 77,729.31

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Solution

The fourth proportional to 255,208.61, 382,869.86 and 77,729.31 is: 116,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208.61 : 382,869.86 = 77,729.31 : x
  2. Step 2: Convert to fraction form
    255,208.61/382,869.86 = 77,729.31/x
  3. Step 3: Cross multiply
    255,208.61x = 382,869.86 × 77,729.31
  4. Step 4: Simplify right side
    255,208.61x = 29,760,209,648.95
  5. Step 5: Solve for x
    x = 29,760,209,648.95/255,208.61
  6. Step 6: Final answer
    x = 116,611.31

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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.