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Finding the Fourth Proportional to 213,893.17, 321,155.16 and 119,308.15

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Solution

The fourth proportional to 213,893.17, 321,155.16 and 119,308.15 is: 179,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,893.17 : 321,155.16 = 119,308.15 : x
  2. Step 2: Convert to fraction form
    213,893.17/321,155.16 = 119,308.15/x
  3. Step 3: Cross multiply
    213,893.17x = 321,155.16 × 119,308.15
  4. Step 4: Simplify right side
    213,893.17x = 38,316,427,406.01
  5. Step 5: Solve for x
    x = 38,316,427,406.01/213,893.17
  6. Step 6: Final answer
    x = 179,138.16

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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.