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Finding the Fourth Proportional to 213,493.86, 319,981.85 and 156,808.35

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Solution

The fourth proportional to 213,493.86, 319,981.85 and 156,808.35 is: 235,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,493.86 : 319,981.85 = 156,808.35 : x
  2. Step 2: Convert to fraction form
    213,493.86/319,981.85 = 156,808.35/x
  3. Step 3: Cross multiply
    213,493.86x = 319,981.85 × 156,808.35
  4. Step 4: Simplify right side
    213,493.86x = 50,175,825,144.41
  5. Step 5: Solve for x
    x = 50,175,825,144.41/213,493.86
  6. Step 6: Final answer
    x = 235,022.33

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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.