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Finding the Fourth Proportional to 140,696.64, 194,165.76 and 77,040.48

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Solution

The fourth proportional to 140,696.64, 194,165.76 and 77,040.48 is: 106,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,696.64 : 194,165.76 = 77,040.48 : x
  2. Step 2: Convert to fraction form
    140,696.64/194,165.76 = 77,040.48/x
  3. Step 3: Cross multiply
    140,696.64x = 194,165.76 × 77,040.48
  4. Step 4: Simplify right side
    140,696.64x = 14,958,623,349.96
  5. Step 5: Solve for x
    x = 14,958,623,349.96/140,696.64
  6. Step 6: Final answer
    x = 106,318.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.