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Finding the Fourth Proportional to 118,894.54, 163,930.99 and 102,732.64

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Solution

The fourth proportional to 118,894.54, 163,930.99 and 102,732.64 is: 141,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,894.54 : 163,930.99 = 102,732.64 : x
  2. Step 2: Convert to fraction form
    118,894.54/163,930.99 = 102,732.64/x
  3. Step 3: Cross multiply
    118,894.54x = 163,930.99 × 102,732.64
  4. Step 4: Simplify right side
    118,894.54x = 16,841,062,047.20
  5. Step 5: Solve for x
    x = 16,841,062,047.20/118,894.54
  6. Step 6: Final answer
    x = 141,647.07

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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.