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Finding the Fourth Proportional to 154,057, 231,098.64 and 43,249

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Solution

The fourth proportional to 154,057, 231,098.64 and 43,249 is: 64,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,057 : 231,098.64 = 43,249 : x
  2. Step 2: Convert to fraction form
    154,057/231,098.64 = 43,249/x
  3. Step 3: Cross multiply
    154,057x = 231,098.64 × 43,249
  4. Step 4: Simplify right side
    154,057x = 9,994,785,081.36
  5. Step 5: Solve for x
    x = 9,994,785,081.36/154,057
  6. Step 6: Final answer
    x = 64,877.19

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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.