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Finding the Fourth Proportional to 159,411.24, 219,978.99 and 87,777.27

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Solution

The fourth proportional to 159,411.24, 219,978.99 and 87,777.27 is: 121,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,411.24 : 219,978.99 = 87,777.27 : x
  2. Step 2: Convert to fraction form
    159,411.24/219,978.99 = 87,777.27/x
  3. Step 3: Cross multiply
    159,411.24x = 219,978.99 × 87,777.27
  4. Step 4: Simplify right side
    159,411.24x = 19,309,155,199.56
  5. Step 5: Solve for x
    x = 19,309,155,199.56/159,411.24
  6. Step 6: Final answer
    x = 121,127.94

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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.