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Finding the Fourth Proportional to 159,300.41, 219,832.85 and 87,678.88

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Solution

The fourth proportional to 159,300.41, 219,832.85 and 87,678.88 is: 120,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,300.41 : 219,832.85 = 87,678.88 : x
  2. Step 2: Convert to fraction form
    159,300.41/219,832.85 = 87,678.88/x
  3. Step 3: Cross multiply
    159,300.41x = 219,832.85 × 87,678.88
  4. Step 4: Simplify right side
    159,300.41x = 19,274,697,744.82
  5. Step 5: Solve for x
    x = 19,274,697,744.82/159,300.41
  6. Step 6: Final answer
    x = 120,995.91

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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.