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Finding the Fourth Proportional to 43,419.86, 64,739.60 and 39,712.84

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Solution

The fourth proportional to 43,419.86, 64,739.60 and 39,712.84 is: 59,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,419.86 : 64,739.60 = 39,712.84 : x
  2. Step 2: Convert to fraction form
    43,419.86/64,739.60 = 39,712.84/x
  3. Step 3: Cross multiply
    43,419.86x = 64,739.60 × 39,712.84
  4. Step 4: Simplify right side
    43,419.86x = 2,570,993,376.46
  5. Step 5: Solve for x
    x = 2,570,993,376.46/43,419.86
  6. Step 6: Final answer
    x = 59,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.