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Finding the Fourth Proportional to 212,515, 293,270.70 and 117,021.49

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Solution

The fourth proportional to 212,515, 293,270.70 and 117,021.49 is: 161,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,515 : 293,270.70 = 117,021.49 : x
  2. Step 2: Convert to fraction form
    212,515/293,270.70 = 117,021.49/x
  3. Step 3: Cross multiply
    212,515x = 293,270.70 × 117,021.49
  4. Step 4: Simplify right side
    212,515x = 34,318,974,287.34
  5. Step 5: Solve for x
    x = 34,318,974,287.34/212,515
  6. Step 6: Final answer
    x = 161,489.66

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1.5x scale

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.