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Finding the Fourth Proportional to 159,029.88, 219,456.90 and 87,409.92

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Solution

The fourth proportional to 159,029.88, 219,456.90 and 87,409.92 is: 120,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,029.88 : 219,456.90 = 87,409.92 : x
  2. Step 2: Convert to fraction form
    159,029.88/219,456.90 = 87,409.92/x
  3. Step 3: Cross multiply
    159,029.88x = 219,456.90 × 87,409.92
  4. Step 4: Simplify right side
    159,029.88x = 19,182,710,072.45
  5. Step 5: Solve for x
    x = 19,182,710,072.45/159,029.88
  6. Step 6: Final answer
    x = 120,623.31

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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.