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Finding the Fourth Proportional to 140,609.84, 194,041.04 and 76,078.88

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Solution

The fourth proportional to 140,609.84, 194,041.04 and 76,078.88 is: 104,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,609.84 : 194,041.04 = 76,078.88 : x
  2. Step 2: Convert to fraction form
    140,609.84/194,041.04 = 76,078.88/x
  3. Step 3: Cross multiply
    140,609.84x = 194,041.04 × 76,078.88
  4. Step 4: Simplify right side
    140,609.84x = 14,762,424,997.24
  5. Step 5: Solve for x
    x = 14,762,424,997.24/140,609.84
  6. Step 6: Final answer
    x = 104,988.56

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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.