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Finding the Fourth Proportional to 213,194.56, 319,992.76 and 156,862.90

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Solution

The fourth proportional to 213,194.56, 319,992.76 and 156,862.90 is: 235,442.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,194.56 : 319,992.76 = 156,862.90 : x
  2. Step 2: Convert to fraction form
    213,194.56/319,992.76 = 156,862.90/x
  3. Step 3: Cross multiply
    213,194.56x = 319,992.76 × 156,862.90
  4. Step 4: Simplify right side
    213,194.56x = 50,194,992,312.60
  5. Step 5: Solve for x
    x = 50,194,992,312.60/213,194.56
  6. Step 6: Final answer
    x = 235,442.18

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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.