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Finding the Fourth Proportional to 154,374.76, 213,046.14 and 86,391.14

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Solution

The fourth proportional to 154,374.76, 213,046.14 and 86,391.14 is: 119,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,374.76 : 213,046.14 = 86,391.14 : x
  2. Step 2: Convert to fraction form
    154,374.76/213,046.14 = 86,391.14/x
  3. Step 3: Cross multiply
    154,374.76x = 213,046.14 × 86,391.14
  4. Step 4: Simplify right side
    154,374.76x = 18,405,298,907.20
  5. Step 5: Solve for x
    x = 18,405,298,907.20/154,374.76
  6. Step 6: Final answer
    x = 119,224.79

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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.