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Finding the Fourth Proportional to 231,006.42, 346,509.54 and 86,939.28

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Solution

The fourth proportional to 231,006.42, 346,509.54 and 86,939.28 is: 130,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,006.42 : 346,509.54 = 86,939.28 : x
  2. Step 2: Convert to fraction form
    231,006.42/346,509.54 = 86,939.28/x
  3. Step 3: Cross multiply
    231,006.42x = 346,509.54 × 86,939.28
  4. Step 4: Simplify right side
    231,006.42x = 30,125,289,920.73
  5. Step 5: Solve for x
    x = 30,125,289,920.73/231,006.42
  6. Step 6: Final answer
    x = 130,408.89

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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.