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Finding the Fourth Proportional to 209,181.52, 313,809.90 and 76,248.28

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Solution

The fourth proportional to 209,181.52, 313,809.90 and 76,248.28 is: 114,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,181.52 : 313,809.90 = 76,248.28 : x
  2. Step 2: Convert to fraction form
    209,181.52/313,809.90 = 76,248.28/x
  3. Step 3: Cross multiply
    209,181.52x = 313,809.90 × 76,248.28
  4. Step 4: Simplify right side
    209,181.52x = 23,927,465,121.97
  5. Step 5: Solve for x
    x = 23,927,465,121.97/209,181.52
  6. Step 6: Final answer
    x = 114,386.13

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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.