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Finding the Fourth Proportional to 154,419.73, 213,102.83 and 86,435.01

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Solution

The fourth proportional to 154,419.73, 213,102.83 and 86,435.01 is: 119,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,419.73 : 213,102.83 = 86,435.01 : x
  2. Step 2: Convert to fraction form
    154,419.73/213,102.83 = 86,435.01/x
  3. Step 3: Cross multiply
    154,419.73x = 213,102.83 × 86,435.01
  4. Step 4: Simplify right side
    154,419.73x = 18,419,545,458.17
  5. Step 5: Solve for x
    x = 18,419,545,458.17/154,419.73
  6. Step 6: Final answer
    x = 119,282.33

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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.