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Finding the Fourth Proportional to 213,493.92, 319,981.94 and 156,808.42

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Solution

The fourth proportional to 213,493.92, 319,981.94 and 156,808.42 is: 235,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,493.92 : 319,981.94 = 156,808.42 : x
  2. Step 2: Convert to fraction form
    213,493.92/319,981.94 = 156,808.42/x
  3. Step 3: Cross multiply
    213,493.92x = 319,981.94 × 156,808.42
  4. Step 4: Simplify right side
    213,493.92x = 50,175,862,831.96
  5. Step 5: Solve for x
    x = 50,175,862,831.96/213,493.92
  6. Step 6: Final answer
    x = 235,022.44

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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.