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Finding the Fourth Proportional to 230,991, 318,767.58 and 125,007

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Solution

The fourth proportional to 230,991, 318,767.58 and 125,007 is: 172,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991 : 318,767.58 = 125,007 : x
  2. Step 2: Convert to fraction form
    230,991/318,767.58 = 125,007/x
  3. Step 3: Cross multiply
    230,991x = 318,767.58 × 125,007
  4. Step 4: Simplify right side
    230,991x = 39,848,178,873.06
  5. Step 5: Solve for x
    x = 39,848,178,873.06/230,991
  6. Step 6: Final answer
    x = 172,509.66

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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.