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Finding the Fourth Proportional to 140,915.77, 194,462.58 and 77,253.42

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Solution

The fourth proportional to 140,915.77, 194,462.58 and 77,253.42 is: 106,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,915.77 : 194,462.58 = 77,253.42 : x
  2. Step 2: Convert to fraction form
    140,915.77/194,462.58 = 77,253.42/x
  3. Step 3: Cross multiply
    140,915.77x = 194,462.58 × 77,253.42
  4. Step 4: Simplify right side
    140,915.77x = 15,022,899,367.02
  5. Step 5: Solve for x
    x = 15,022,899,367.02/140,915.77
  6. Step 6: Final answer
    x = 106,609.07

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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.