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Finding the Fourth Proportional to 213,039.68, 319,559.52 and 72,799.52

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Solution

The fourth proportional to 213,039.68, 319,559.52 and 72,799.52 is: 109,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,039.68 : 319,559.52 = 72,799.52 : x
  2. Step 2: Convert to fraction form
    213,039.68/319,559.52 = 72,799.52/x
  3. Step 3: Cross multiply
    213,039.68x = 319,559.52 × 72,799.52
  4. Step 4: Simplify right side
    213,039.68x = 23,263,779,667.43
  5. Step 5: Solve for x
    x = 23,263,779,667.43/213,039.68
  6. Step 6: Final answer
    x = 109,199.28

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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.