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Finding the Fourth Proportional to 212,591, 293,354.29 and 130,906.16

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Solution

The fourth proportional to 212,591, 293,354.29 and 130,906.16 is: 180,637.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,591 : 293,354.29 = 130,906.16 : x
  2. Step 2: Convert to fraction form
    212,591/293,354.29 = 130,906.16/x
  3. Step 3: Cross multiply
    212,591x = 293,354.29 × 130,906.16
  4. Step 4: Simplify right side
    212,591x = 38,401,883,623.43
  5. Step 5: Solve for x
    x = 38,401,883,623.43/212,591
  6. Step 6: Final answer
    x = 180,637.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.