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Finding the Fourth Proportional to 64,077, 88,426.26 and 35,782.68

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Solution

The fourth proportional to 64,077, 88,426.26 and 35,782.68 is: 49,380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,077 : 88,426.26 = 35,782.68 : x
  2. Step 2: Convert to fraction form
    64,077/88,426.26 = 35,782.68/x
  3. Step 3: Cross multiply
    64,077x = 88,426.26 × 35,782.68
  4. Step 4: Simplify right side
    64,077x = 3,164,128,565.18
  5. Step 5: Solve for x
    x = 3,164,128,565.18/64,077
  6. Step 6: Final answer
    x = 49,380.10

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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.