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Finding the Fourth Proportional to 212,970.96, 319,456.12 and 55,199.56

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Solution

The fourth proportional to 212,970.96, 319,456.12 and 55,199.56 is: 82,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,970.96 : 319,456.12 = 55,199.56 : x
  2. Step 2: Convert to fraction form
    212,970.96/319,456.12 = 55,199.56/x
  3. Step 3: Cross multiply
    212,970.96x = 319,456.12 × 55,199.56
  4. Step 4: Simplify right side
    212,970.96x = 17,633,837,263.31
  5. Step 5: Solve for x
    x = 17,633,837,263.31/212,970.96
  6. Step 6: Final answer
    x = 82,799.26

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1.5x scale

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.