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Finding the Fourth Proportional to 77,861, 116,865.34 and 48,189.08

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Solution

The fourth proportional to 77,861, 116,865.34 and 48,189.08 is: 72,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,861 : 116,865.34 = 48,189.08 : x
  2. Step 2: Convert to fraction form
    77,861/116,865.34 = 48,189.08/x
  3. Step 3: Cross multiply
    77,861x = 116,865.34 × 48,189.08
  4. Step 4: Simplify right side
    77,861x = 5,631,633,218.49
  5. Step 5: Solve for x
    x = 5,631,633,218.49/77,861
  6. Step 6: Final answer
    x = 72,329.32

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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.