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Finding the Fourth Proportional to 213,958, 295,260.91 and 117,160.10

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Solution

The fourth proportional to 213,958, 295,260.91 and 117,160.10 is: 161,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,958 : 295,260.91 = 117,160.10 : x
  2. Step 2: Convert to fraction form
    213,958/295,260.91 = 117,160.10/x
  3. Step 3: Cross multiply
    213,958x = 295,260.91 × 117,160.10
  4. Step 4: Simplify right side
    213,958x = 34,592,797,741.69
  5. Step 5: Solve for x
    x = 34,592,797,741.69/213,958
  6. Step 6: Final answer
    x = 161,680.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.