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Finding the Fourth Proportional to 106,474.65, 159,822.72 and 78,426.36

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Solution

The fourth proportional to 106,474.65, 159,822.72 and 78,426.36 is: 117,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,474.65 : 159,822.72 = 78,426.36 : x
  2. Step 2: Convert to fraction form
    106,474.65/159,822.72 = 78,426.36/x
  3. Step 3: Cross multiply
    106,474.65x = 159,822.72 × 78,426.36
  4. Step 4: Simplify right side
    106,474.65x = 12,534,314,174.90
  5. Step 5: Solve for x
    x = 12,534,314,174.90/106,474.65
  6. Step 6: Final answer
    x = 117,721.11

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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.