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Finding the Fourth Proportional to 243,101.20, 364,867.80 and 143,136.40

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Solution

The fourth proportional to 243,101.20, 364,867.80 and 143,136.40 is: 214,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,101.20 : 364,867.80 = 143,136.40 : x
  2. Step 2: Convert to fraction form
    243,101.20/364,867.80 = 143,136.40/x
  3. Step 3: Cross multiply
    243,101.20x = 364,867.80 × 143,136.40
  4. Step 4: Simplify right side
    243,101.20x = 52,225,863,367.92
  5. Step 5: Solve for x
    x = 52,225,863,367.92/243,101.20
  6. Step 6: Final answer
    x = 214,831.78

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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.