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Finding the Fourth Proportional to 131,838.60, 197,709.30 and 65,256.60

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Solution

The fourth proportional to 131,838.60, 197,709.30 and 65,256.60 is: 97,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,838.60 : 197,709.30 = 65,256.60 : x
  2. Step 2: Convert to fraction form
    131,838.60/197,709.30 = 65,256.60/x
  3. Step 3: Cross multiply
    131,838.60x = 197,709.30 × 65,256.60
  4. Step 4: Simplify right side
    131,838.60x = 12,901,836,706.38
  5. Step 5: Solve for x
    x = 12,901,836,706.38/131,838.60
  6. Step 6: Final answer
    x = 97,860.84

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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.