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Finding the Fourth Proportional to 254,036.66, 380,780.80 and 111,755.30

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Solution

The fourth proportional to 254,036.66, 380,780.80 and 111,755.30 is: 167,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,036.66 : 380,780.80 = 111,755.30 : x
  2. Step 2: Convert to fraction form
    254,036.66/380,780.80 = 111,755.30/x
  3. Step 3: Cross multiply
    254,036.66x = 380,780.80 × 111,755.30
  4. Step 4: Simplify right side
    254,036.66x = 42,554,270,354.95
  5. Step 5: Solve for x
    x = 42,554,270,354.95/254,036.66
  6. Step 6: Final answer
    x = 167,512.32

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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.