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Finding the Fourth Proportional to 159,898.58, 220,656.46 and 87,299

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Solution

The fourth proportional to 159,898.58, 220,656.46 and 87,299 is: 120,470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,898.58 : 220,656.46 = 87,299 : x
  2. Step 2: Convert to fraction form
    159,898.58/220,656.46 = 87,299/x
  3. Step 3: Cross multiply
    159,898.58x = 220,656.46 × 87,299
  4. Step 4: Simplify right side
    159,898.58x = 19,263,088,301.54
  5. Step 5: Solve for x
    x = 19,263,088,301.54/159,898.58
  6. Step 6: Final answer
    x = 120,470.67

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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.