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Finding the Fourth Proportional to 159,053.09, 219,491.49 and 86,454.41

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Solution

The fourth proportional to 159,053.09, 219,491.49 and 86,454.41 is: 119,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,053.09 : 219,491.49 = 86,454.41 : x
  2. Step 2: Convert to fraction form
    159,053.09/219,491.49 = 86,454.41/x
  3. Step 3: Cross multiply
    159,053.09x = 219,491.49 × 86,454.41
  4. Step 4: Simplify right side
    159,053.09x = 18,976,008,140.90
  5. Step 5: Solve for x
    x = 18,976,008,140.90/159,053.09
  6. Step 6: Final answer
    x = 119,306.13

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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.