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Finding the Fourth Proportional to 213,421.20, 319,710.60 and 108,315.60

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Solution

The fourth proportional to 213,421.20, 319,710.60 and 108,315.60 is: 162,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,421.20 : 319,710.60 = 108,315.60 : x
  2. Step 2: Convert to fraction form
    213,421.20/319,710.60 = 108,315.60/x
  3. Step 3: Cross multiply
    213,421.20x = 319,710.60 × 108,315.60
  4. Step 4: Simplify right side
    213,421.20x = 34,629,645,465.36
  5. Step 5: Solve for x
    x = 34,629,645,465.36/213,421.20
  6. Step 6: Final answer
    x = 162,259.63

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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.