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Finding the Fourth Proportional to 186,815.80, 280,223.70 and 164,654.20

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Solution

The fourth proportional to 186,815.80, 280,223.70 and 164,654.20 is: 246,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,815.80 : 280,223.70 = 164,654.20 : x
  2. Step 2: Convert to fraction form
    186,815.80/280,223.70 = 164,654.20/x
  3. Step 3: Cross multiply
    186,815.80x = 280,223.70 × 164,654.20
  4. Step 4: Simplify right side
    186,815.80x = 46,140,009,144.54
  5. Step 5: Solve for x
    x = 46,140,009,144.54/186,815.80
  6. Step 6: Final answer
    x = 246,981.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.