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Finding the Fourth Proportional to 212,897.90, 319,398.20 and 79,779.33

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Solution

The fourth proportional to 212,897.90, 319,398.20 and 79,779.33 is: 119,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,897.90 : 319,398.20 = 79,779.33 : x
  2. Step 2: Convert to fraction form
    212,897.90/319,398.20 = 79,779.33/x
  3. Step 3: Cross multiply
    212,897.90x = 319,398.20 × 79,779.33
  4. Step 4: Simplify right side
    212,897.90x = 25,481,374,000.31
  5. Step 5: Solve for x
    x = 25,481,374,000.31/212,897.90
  6. Step 6: Final answer
    x = 119,688.24

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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.