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Finding the Fourth Proportional to 139,988.96, 193,180.56 and 76,328

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Solution

The fourth proportional to 139,988.96, 193,180.56 and 76,328 is: 105,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,988.96 : 193,180.56 = 76,328 : x
  2. Step 2: Convert to fraction form
    139,988.96/193,180.56 = 76,328/x
  3. Step 3: Cross multiply
    139,988.96x = 193,180.56 × 76,328
  4. Step 4: Simplify right side
    139,988.96x = 14,745,085,783.68
  5. Step 5: Solve for x
    x = 14,745,085,783.68/139,988.96
  6. Step 6: Final answer
    x = 105,330.35

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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.