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Finding the Fourth Proportional to 212,899.84, 319,349.82 and 86,608.80

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Solution

The fourth proportional to 212,899.84, 319,349.82 and 86,608.80 is: 129,913.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,899.84 : 319,349.82 = 86,608.80 : x
  2. Step 2: Convert to fraction form
    212,899.84/319,349.82 = 86,608.80/x
  3. Step 3: Cross multiply
    212,899.84x = 319,349.82 × 86,608.80
  4. Step 4: Simplify right side
    212,899.84x = 27,658,502,768.88
  5. Step 5: Solve for x
    x = 27,658,502,768.88/212,899.84
  6. Step 6: Final answer
    x = 129,913.21

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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.