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Finding the Fourth Proportional to 77,349, 116,023.60 and 21,189.60

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Solution

The fourth proportional to 77,349, 116,023.60 and 21,189.60 is: 31,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349 : 116,023.60 = 21,189.60 : x
  2. Step 2: Convert to fraction form
    77,349/116,023.60 = 21,189.60/x
  3. Step 3: Cross multiply
    77,349x = 116,023.60 × 21,189.60
  4. Step 4: Simplify right side
    77,349x = 2,458,493,674.56
  5. Step 5: Solve for x
    x = 2,458,493,674.56/77,349
  6. Step 6: Final answer
    x = 31,784.43

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1.5x scale

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.