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Finding the Fourth Proportional to 159,116.86, 219,573.75 and 87,499.90

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Solution

The fourth proportional to 159,116.86, 219,573.75 and 87,499.90 is: 120,745.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,116.86 : 219,573.75 = 87,499.90 : x
  2. Step 2: Convert to fraction form
    159,116.86/219,573.75 = 87,499.90/x
  3. Step 3: Cross multiply
    159,116.86x = 219,573.75 × 87,499.90
  4. Step 4: Simplify right side
    159,116.86x = 19,212,681,167.63
  5. Step 5: Solve for x
    x = 19,212,681,167.63/159,116.86
  6. Step 6: Final answer
    x = 120,745.73

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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.