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Finding the Fourth Proportional to 159,138.96, 219,607.56 and 86,539.80

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Solution

The fourth proportional to 159,138.96, 219,607.56 and 86,539.80 is: 119,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,138.96 : 219,607.56 = 86,539.80 : x
  2. Step 2: Convert to fraction form
    159,138.96/219,607.56 = 86,539.80/x
  3. Step 3: Cross multiply
    159,138.96x = 219,607.56 × 86,539.80
  4. Step 4: Simplify right side
    159,138.96x = 19,004,794,320.89
  5. Step 5: Solve for x
    x = 19,004,794,320.89/159,138.96
  6. Step 6: Final answer
    x = 119,422.64

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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.