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Finding the Fourth Proportional to 159,283.76, 219,826.32 and 87,678.32

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Solution

The fourth proportional to 159,283.76, 219,826.32 and 87,678.32 is: 121,004.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,283.76 : 219,826.32 = 87,678.32 : x
  2. Step 2: Convert to fraction form
    159,283.76/219,826.32 = 87,678.32/x
  3. Step 3: Cross multiply
    159,283.76x = 219,826.32 × 87,678.32
  4. Step 4: Simplify right side
    159,283.76x = 19,274,002,429.38
  5. Step 5: Solve for x
    x = 19,274,002,429.38/159,283.76
  6. Step 6: Final answer
    x = 121,004.19

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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.