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Finding the Fourth Proportional to 140,007.96, 193,206.76 and 76,347

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Solution

The fourth proportional to 140,007.96, 193,206.76 and 76,347 is: 105,356.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,007.96 : 193,206.76 = 76,347 : x
  2. Step 2: Convert to fraction form
    140,007.96/193,206.76 = 76,347/x
  3. Step 3: Cross multiply
    140,007.96x = 193,206.76 × 76,347
  4. Step 4: Simplify right side
    140,007.96x = 14,750,756,505.72
  5. Step 5: Solve for x
    x = 14,750,756,505.72/140,007.96
  6. Step 6: Final answer
    x = 105,356.56

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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.