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Finding the Fourth Proportional to 106,617.91, 159,579.66 and 78,526.90

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Solution

The fourth proportional to 106,617.91, 159,579.66 and 78,526.90 is: 117,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,617.91 : 159,579.66 = 78,526.90 : x
  2. Step 2: Convert to fraction form
    106,617.91/159,579.66 = 78,526.90/x
  3. Step 3: Cross multiply
    106,617.91x = 159,579.66 × 78,526.90
  4. Step 4: Simplify right side
    106,617.91x = 12,531,296,002.85
  5. Step 5: Solve for x
    x = 12,531,296,002.85/106,617.91
  6. Step 6: Final answer
    x = 117,534.62

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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.