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Finding the Fourth Proportional to 136,715.42, 205,071.90 and 43,221.20

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Solution

The fourth proportional to 136,715.42, 205,071.90 and 43,221.20 is: 64,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,715.42 : 205,071.90 = 43,221.20 : x
  2. Step 2: Convert to fraction form
    136,715.42/205,071.90 = 43,221.20/x
  3. Step 3: Cross multiply
    136,715.42x = 205,071.90 × 43,221.20
  4. Step 4: Simplify right side
    136,715.42x = 8,863,453,604.28
  5. Step 5: Solve for x
    x = 8,863,453,604.28/136,715.42
  6. Step 6: Final answer
    x = 64,831.41

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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.