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Finding the Fourth Proportional to 212,805.78, 293,673.96 and 117,315.90

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Solution

The fourth proportional to 212,805.78, 293,673.96 and 117,315.90 is: 161,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,805.78 : 293,673.96 = 117,315.90 : x
  2. Step 2: Convert to fraction form
    212,805.78/293,673.96 = 117,315.90/x
  3. Step 3: Cross multiply
    212,805.78x = 293,673.96 × 117,315.90
  4. Step 4: Simplify right side
    212,805.78x = 34,452,624,923.96
  5. Step 5: Solve for x
    x = 34,452,624,923.96/212,805.78
  6. Step 6: Final answer
    x = 161,897.04

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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.