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Finding the Fourth Proportional to 159,347.64, 219,898.14 and 87,725.76

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Solution

The fourth proportional to 159,347.64, 219,898.14 and 87,725.76 is: 121,060.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,347.64 : 219,898.14 = 87,725.76 : x
  2. Step 2: Convert to fraction form
    159,347.64/219,898.14 = 87,725.76/x
  3. Step 3: Cross multiply
    159,347.64x = 219,898.14 × 87,725.76
  4. Step 4: Simplify right side
    159,347.64x = 19,290,731,454.09
  5. Step 5: Solve for x
    x = 19,290,731,454.09/159,347.64
  6. Step 6: Final answer
    x = 121,060.67

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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.