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Finding the Fourth Proportional to 210,094.70, 315,105.60 and 76,906.40

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Solution

The fourth proportional to 210,094.70, 315,105.60 and 76,906.40 is: 115,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,094.70 : 315,105.60 = 76,906.40 : x
  2. Step 2: Convert to fraction form
    210,094.70/315,105.60 = 76,906.40/x
  3. Step 3: Cross multiply
    210,094.70x = 315,105.60 × 76,906.40
  4. Step 4: Simplify right side
    210,094.70x = 24,233,637,315.84
  5. Step 5: Solve for x
    x = 24,233,637,315.84/210,094.70
  6. Step 6: Final answer
    x = 115,346.26

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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.