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Finding the Fourth Proportional to 209,236, 313,995.12 and 77,908

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Solution

The fourth proportional to 209,236, 313,995.12 and 77,908 is: 116,914.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,236 : 313,995.12 = 77,908 : x
  2. Step 2: Convert to fraction form
    209,236/313,995.12 = 77,908/x
  3. Step 3: Cross multiply
    209,236x = 313,995.12 × 77,908
  4. Step 4: Simplify right side
    209,236x = 24,462,731,808.96
  5. Step 5: Solve for x
    x = 24,462,731,808.96/209,236
  6. Step 6: Final answer
    x = 116,914.55

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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.