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Finding the Fourth Proportional to 212,938.40, 319,389.60 and 65,194.40

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Solution

The fourth proportional to 212,938.40, 319,389.60 and 65,194.40 is: 97,786.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,938.40 : 319,389.60 = 65,194.40 : x
  2. Step 2: Convert to fraction form
    212,938.40/319,389.60 = 65,194.40/x
  3. Step 3: Cross multiply
    212,938.40x = 319,389.60 × 65,194.40
  4. Step 4: Simplify right side
    212,938.40x = 20,822,413,338.24
  5. Step 5: Solve for x
    x = 20,822,413,338.24/212,938.40
  6. Step 6: Final answer
    x = 97,786.09

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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.