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Finding the Fourth Proportional to 159,404.25, 219,977.88 and 87,784.11

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Solution

The fourth proportional to 159,404.25, 219,977.88 and 87,784.11 is: 121,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,404.25 : 219,977.88 = 87,784.11 : x
  2. Step 2: Convert to fraction form
    159,404.25/219,977.88 = 87,784.11/x
  3. Step 3: Cross multiply
    159,404.25x = 219,977.88 × 87,784.11
  4. Step 4: Simplify right side
    159,404.25x = 19,310,562,415.49
  5. Step 5: Solve for x
    x = 19,310,562,415.49/159,404.25
  6. Step 6: Final answer
    x = 121,142.08

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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.