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Finding the Fourth Proportional to 64,142.81, 88,509.40 and 35,458.60

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Solution

The fourth proportional to 64,142.81, 88,509.40 and 35,458.60 is: 48,928.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,142.81 : 88,509.40 = 35,458.60 : x
  2. Step 2: Convert to fraction form
    64,142.81/88,509.40 = 35,458.60/x
  3. Step 3: Cross multiply
    64,142.81x = 88,509.40 × 35,458.60
  4. Step 4: Simplify right side
    64,142.81x = 3,138,419,410.84
  5. Step 5: Solve for x
    x = 3,138,419,410.84/64,142.81
  6. Step 6: Final answer
    x = 48,928.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.