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Finding the Fourth Proportional to 159,300, 219,848.64 and 87,694.56

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Solution

The fourth proportional to 159,300, 219,848.64 and 87,694.56 is: 121,026.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,300 : 219,848.64 = 87,694.56 : x
  2. Step 2: Convert to fraction form
    159,300/219,848.64 = 87,694.56/x
  3. Step 3: Cross multiply
    159,300x = 219,848.64 × 87,694.56
  4. Step 4: Simplify right side
    159,300x = 19,279,529,751.40
  5. Step 5: Solve for x
    x = 19,279,529,751.40/159,300
  6. Step 6: Final answer
    x = 121,026.55

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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.