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Finding the Fourth Proportional to 77,350, 116,025.10 and 21,190.60

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Solution

The fourth proportional to 77,350, 116,025.10 and 21,190.60 is: 31,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,350 : 116,025.10 = 21,190.60 : x
  2. Step 2: Convert to fraction form
    77,350/116,025.10 = 21,190.60/x
  3. Step 3: Cross multiply
    77,350x = 116,025.10 × 21,190.60
  4. Step 4: Simplify right side
    77,350x = 2,458,641,484.06
  5. Step 5: Solve for x
    x = 2,458,641,484.06/77,350
  6. Step 6: Final answer
    x = 31,785.93

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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.