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Finding the Fourth Proportional to 255,101.88, 351,894 and 159,442.56

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Solution

The fourth proportional to 255,101.88, 351,894 and 159,442.56 is: 219,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,101.88 : 351,894 = 159,442.56 : x
  2. Step 2: Convert to fraction form
    255,101.88/351,894 = 159,442.56/x
  3. Step 3: Cross multiply
    255,101.88x = 351,894 × 159,442.56
  4. Step 4: Simplify right side
    255,101.88x = 56,106,880,208.64
  5. Step 5: Solve for x
    x = 56,106,880,208.64/255,101.88
  6. Step 6: Final answer
    x = 219,939.11

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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.