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Finding the Fourth Proportional to 159,403.89, 219,977.42 and 87,783.69

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Solution

The fourth proportional to 159,403.89, 219,977.42 and 87,783.69 is: 121,141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,403.89 : 219,977.42 = 87,783.69 : x
  2. Step 2: Convert to fraction form
    159,403.89/219,977.42 = 87,783.69/x
  3. Step 3: Cross multiply
    159,403.89x = 219,977.42 × 87,783.69
  4. Step 4: Simplify right side
    159,403.89x = 19,310,429,205.36
  5. Step 5: Solve for x
    x = 19,310,429,205.36/159,403.89
  6. Step 6: Final answer
    x = 121,141.52

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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.