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Finding the Fourth Proportional to 159,854.82, 220,598.58 and 87,257.43

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Solution

The fourth proportional to 159,854.82, 220,598.58 and 87,257.43 is: 120,414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,854.82 : 220,598.58 = 87,257.43 : x
  2. Step 2: Convert to fraction form
    159,854.82/220,598.58 = 87,257.43/x
  3. Step 3: Cross multiply
    159,854.82x = 220,598.58 × 87,257.43
  4. Step 4: Simplify right side
    159,854.82x = 19,248,865,152.45
  5. Step 5: Solve for x
    x = 19,248,865,152.45/159,854.82
  6. Step 6: Final answer
    x = 120,414.67

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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.