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Finding the Fourth Proportional to 209,314.80, 313,972.20 and 84,655.80

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Solution

The fourth proportional to 209,314.80, 313,972.20 and 84,655.80 is: 126,983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.80 : 313,972.20 = 84,655.80 : x
  2. Step 2: Convert to fraction form
    209,314.80/313,972.20 = 84,655.80/x
  3. Step 3: Cross multiply
    209,314.80x = 313,972.20 × 84,655.80
  4. Step 4: Simplify right side
    209,314.80x = 26,579,567,768.76
  5. Step 5: Solve for x
    x = 26,579,567,768.76/209,314.80
  6. Step 6: Final answer
    x = 126,983.70

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1.5x scale

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.