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Finding the Fourth Proportional to 210,226.99, 315,153 and 77,076.22

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Solution

The fourth proportional to 210,226.99, 315,153 and 77,076.22 is: 115,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,226.99 : 315,153 = 77,076.22 : x
  2. Step 2: Convert to fraction form
    210,226.99/315,153 = 77,076.22/x
  3. Step 3: Cross multiply
    210,226.99x = 315,153 × 77,076.22
  4. Step 4: Simplify right side
    210,226.99x = 24,290,801,961.66
  5. Step 5: Solve for x
    x = 24,290,801,961.66/210,226.99
  6. Step 6: Final answer
    x = 115,545.59

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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.