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Finding the Fourth Proportional to 118,595.52, 163,699.97 and 78,345

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Solution

The fourth proportional to 118,595.52, 163,699.97 and 78,345 is: 108,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,595.52 : 163,699.97 = 78,345 : x
  2. Step 2: Convert to fraction form
    118,595.52/163,699.97 = 78,345/x
  3. Step 3: Cross multiply
    118,595.52x = 163,699.97 × 78,345
  4. Step 4: Simplify right side
    118,595.52x = 12,825,073,757.93
  5. Step 5: Solve for x
    x = 12,825,073,757.93/118,595.52
  6. Step 6: Final answer
    x = 108,141.30

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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.