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Finding the Fourth Proportional to 78,540.32, 117,811.70 and 74,552.69

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Solution

The fourth proportional to 78,540.32, 117,811.70 and 74,552.69 is: 111,830.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,540.32 : 117,811.70 = 74,552.69 : x
  2. Step 2: Convert to fraction form
    78,540.32/117,811.70 = 74,552.69/x
  3. Step 3: Cross multiply
    78,540.32x = 117,811.70 × 74,552.69
  4. Step 4: Simplify right side
    78,540.32x = 8,783,178,186.65
  5. Step 5: Solve for x
    x = 8,783,178,186.65/78,540.32
  6. Step 6: Final answer
    x = 111,830.19

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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.