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Finding the Fourth Proportional to 159,202.40, 219,701.14 and 91,218

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Solution

The fourth proportional to 159,202.40, 219,701.14 and 91,218 is: 125,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,202.40 : 219,701.14 = 91,218 : x
  2. Step 2: Convert to fraction form
    159,202.40/219,701.14 = 91,218/x
  3. Step 3: Cross multiply
    159,202.40x = 219,701.14 × 91,218
  4. Step 4: Simplify right side
    159,202.40x = 20,040,698,588.52
  5. Step 5: Solve for x
    x = 20,040,698,588.52/159,202.40
  6. Step 6: Final answer
    x = 125,881.89

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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.