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Finding the Fourth Proportional to 78,599, 117,775.20 and 31,188.44

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Solution

The fourth proportional to 78,599, 117,775.20 and 31,188.44 is: 46,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,599 : 117,775.20 = 31,188.44 : x
  2. Step 2: Convert to fraction form
    78,599/117,775.20 = 31,188.44/x
  3. Step 3: Cross multiply
    78,599x = 117,775.20 × 31,188.44
  4. Step 4: Simplify right side
    78,599x = 3,673,224,758.69
  5. Step 5: Solve for x
    x = 3,673,224,758.69/78,599
  6. Step 6: Final answer
    x = 46,733.73

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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.