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Finding the Fourth Proportional to 210,046.20, 315,069.30 and 76,882.20

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Solution

The fourth proportional to 210,046.20, 315,069.30 and 76,882.20 is: 115,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,046.20 : 315,069.30 = 76,882.20 : x
  2. Step 2: Convert to fraction form
    210,046.20/315,069.30 = 76,882.20/x
  3. Step 3: Cross multiply
    210,046.20x = 315,069.30 × 76,882.20
  4. Step 4: Simplify right side
    210,046.20x = 24,223,220,936.46
  5. Step 5: Solve for x
    x = 24,223,220,936.46/210,046.20
  6. Step 6: Final answer
    x = 115,323.30

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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.