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Finding the Fourth Proportional to 159,105.90, 219,561.93 and 86,506.50

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Solution

The fourth proportional to 159,105.90, 219,561.93 and 86,506.50 is: 119,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,105.90 : 219,561.93 = 86,506.50 : x
  2. Step 2: Convert to fraction form
    159,105.90/219,561.93 = 86,506.50/x
  3. Step 3: Cross multiply
    159,105.90x = 219,561.93 × 86,506.50
  4. Step 4: Simplify right side
    159,105.90x = 18,993,534,097.55
  5. Step 5: Solve for x
    x = 18,993,534,097.55/159,105.90
  6. Step 6: Final answer
    x = 119,376.68

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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.