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Finding the Fourth Proportional to 106,279.94, 159,419.64 and 72,898.76

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Solution

The fourth proportional to 106,279.94, 159,419.64 and 72,898.76 is: 109,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,279.94 : 159,419.64 = 72,898.76 : x
  2. Step 2: Convert to fraction form
    106,279.94/159,419.64 = 72,898.76/x
  3. Step 3: Cross multiply
    106,279.94x = 159,419.64 × 72,898.76
  4. Step 4: Simplify right side
    106,279.94x = 11,621,494,075.65
  5. Step 5: Solve for x
    x = 11,621,494,075.65/106,279.94
  6. Step 6: Final answer
    x = 109,347.95

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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.