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Finding the Fourth Proportional to 78,148.44, 117,222.66 and 18,983.71

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Solution

The fourth proportional to 78,148.44, 117,222.66 and 18,983.71 is: 28,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148.44 : 117,222.66 = 18,983.71 : x
  2. Step 2: Convert to fraction form
    78,148.44/117,222.66 = 18,983.71/x
  3. Step 3: Cross multiply
    78,148.44x = 117,222.66 × 18,983.71
  4. Step 4: Simplify right side
    78,148.44x = 2,225,320,982.87
  5. Step 5: Solve for x
    x = 2,225,320,982.87/78,148.44
  6. Step 6: Final answer
    x = 28,475.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.