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Finding the Fourth Proportional to 212,943.40, 319,415.10 and 63,206.80

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Solution

The fourth proportional to 212,943.40, 319,415.10 and 63,206.80 is: 94,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,943.40 : 319,415.10 = 63,206.80 : x
  2. Step 2: Convert to fraction form
    212,943.40/319,415.10 = 63,206.80/x
  3. Step 3: Cross multiply
    212,943.40x = 319,415.10 × 63,206.80
  4. Step 4: Simplify right side
    212,943.40x = 20,189,206,342.68
  5. Step 5: Solve for x
    x = 20,189,206,342.68/212,943.40
  6. Step 6: Final answer
    x = 94,810.20

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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.