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Finding the Fourth Proportional to 209,513.76, 314,218.80 and 76,369.44

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Solution

The fourth proportional to 209,513.76, 314,218.80 and 76,369.44 is: 114,535.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,513.76 : 314,218.80 = 76,369.44 : x
  2. Step 2: Convert to fraction form
    209,513.76/314,218.80 = 76,369.44/x
  3. Step 3: Cross multiply
    209,513.76x = 314,218.80 × 76,369.44
  4. Step 4: Simplify right side
    209,513.76x = 23,996,713,793.47
  5. Step 5: Solve for x
    x = 23,996,713,793.47/209,513.76
  6. Step 6: Final answer
    x = 114,535.26

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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.