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Finding the Fourth Proportional to 159,200.82, 219,695.52 and 87,580.98

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Solution

The fourth proportional to 159,200.82, 219,695.52 and 87,580.98 is: 120,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.82 : 219,695.52 = 87,580.98 : x
  2. Step 2: Convert to fraction form
    159,200.82/219,695.52 = 87,580.98/x
  3. Step 3: Cross multiply
    159,200.82x = 219,695.52 × 87,580.98
  4. Step 4: Simplify right side
    159,200.82x = 19,241,148,943.21
  5. Step 5: Solve for x
    x = 19,241,148,943.21/159,200.82
  6. Step 6: Final answer
    x = 120,860.87

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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.