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Finding the Fourth Proportional to 145,647, 218,340.48 and 56,879.76

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Solution

The fourth proportional to 145,647, 218,340.48 and 56,879.76 is: 85,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,647 : 218,340.48 = 56,879.76 : x
  2. Step 2: Convert to fraction form
    145,647/218,340.48 = 56,879.76/x
  3. Step 3: Cross multiply
    145,647x = 218,340.48 × 56,879.76
  4. Step 4: Simplify right side
    145,647x = 12,419,154,100.68
  5. Step 5: Solve for x
    x = 12,419,154,100.68/145,647
  6. Step 6: Final answer
    x = 85,268.86

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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.