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Finding the Fourth Proportional to 213,025.68, 319,703.52 and 80,026.80

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Solution

The fourth proportional to 213,025.68, 319,703.52 and 80,026.80 is: 120,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,025.68 : 319,703.52 = 80,026.80 : x
  2. Step 2: Convert to fraction form
    213,025.68/319,703.52 = 80,026.80/x
  3. Step 3: Cross multiply
    213,025.68x = 319,703.52 × 80,026.80
  4. Step 4: Simplify right side
    213,025.68x = 25,584,849,654.34
  5. Step 5: Solve for x
    x = 25,584,849,654.34/213,025.68
  6. Step 6: Final answer
    x = 120,102.19

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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.