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Finding the Fourth Proportional to 255,649.98, 352,823.31 and 153,708.78

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Solution

The fourth proportional to 255,649.98, 352,823.31 and 153,708.78 is: 212,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,649.98 : 352,823.31 = 153,708.78 : x
  2. Step 2: Convert to fraction form
    255,649.98/352,823.31 = 153,708.78/x
  3. Step 3: Cross multiply
    255,649.98x = 352,823.31 × 153,708.78
  4. Step 4: Simplify right side
    255,649.98x = 54,232,040,535.66
  5. Step 5: Solve for x
    x = 54,232,040,535.66/255,649.98
  6. Step 6: Final answer
    x = 212,133.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.