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Finding the Fourth Proportional to 78,586.95, 117,905.01 and 50,538.67

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Solution

The fourth proportional to 78,586.95, 117,905.01 and 50,538.67 is: 75,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,586.95 : 117,905.01 = 50,538.67 : x
  2. Step 2: Convert to fraction form
    78,586.95/117,905.01 = 50,538.67/x
  3. Step 3: Cross multiply
    78,586.95x = 117,905.01 × 50,538.67
  4. Step 4: Simplify right side
    78,586.95x = 5,958,762,391.74
  5. Step 5: Solve for x
    x = 5,958,762,391.74/78,586.95
  6. Step 6: Final answer
    x = 75,823.82

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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.