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Finding the Fourth Proportional to 158,906.91, 219,293.14 and 86,310.50

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Solution

The fourth proportional to 158,906.91, 219,293.14 and 86,310.50 is: 119,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,906.91 : 219,293.14 = 86,310.50 : x
  2. Step 2: Convert to fraction form
    158,906.91/219,293.14 = 86,310.50/x
  3. Step 3: Cross multiply
    158,906.91x = 219,293.14 × 86,310.50
  4. Step 4: Simplify right side
    158,906.91x = 18,927,301,323.98
  5. Step 5: Solve for x
    x = 18,927,301,323.98/158,906.91
  6. Step 6: Final answer
    x = 119,109.37

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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.