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Finding the Fourth Proportional to 154,701.90, 232,023.69 and 75,765.78

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Solution

The fourth proportional to 154,701.90, 232,023.69 and 75,765.78 is: 113,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,701.90 : 232,023.69 = 75,765.78 : x
  2. Step 2: Convert to fraction form
    154,701.90/232,023.69 = 75,765.78/x
  3. Step 3: Cross multiply
    154,701.90x = 232,023.69 × 75,765.78
  4. Step 4: Simplify right side
    154,701.90x = 17,579,455,851.33
  5. Step 5: Solve for x
    x = 17,579,455,851.33/154,701.90
  6. Step 6: Final answer
    x = 113,634.39

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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.