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Finding the Fourth Proportional to 159,198.72, 219,688.32 and 87,574.08

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Solution

The fourth proportional to 159,198.72, 219,688.32 and 87,574.08 is: 120,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198.72 : 219,688.32 = 87,574.08 : x
  2. Step 2: Convert to fraction form
    159,198.72/219,688.32 = 87,574.08/x
  3. Step 3: Cross multiply
    159,198.72x = 219,688.32 × 87,574.08
  4. Step 4: Simplify right side
    159,198.72x = 19,239,002,510.75
  5. Step 5: Solve for x
    x = 19,239,002,510.75/159,198.72
  6. Step 6: Final answer
    x = 120,848.98

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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.