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Finding the Fourth Proportional to 78,420.74, 117,631.12 and 28,491.54

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Solution

The fourth proportional to 78,420.74, 117,631.12 and 28,491.54 is: 42,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.74 : 117,631.12 = 28,491.54 : x
  2. Step 2: Convert to fraction form
    78,420.74/117,631.12 = 28,491.54/x
  3. Step 3: Cross multiply
    78,420.74x = 117,631.12 × 28,491.54
  4. Step 4: Simplify right side
    78,420.74x = 3,351,491,760.72
  5. Step 5: Solve for x
    x = 3,351,491,760.72/78,420.74
  6. Step 6: Final answer
    x = 42,737.31

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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.