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Finding the Fourth Proportional to 128,893.28, 193,314.87 and 64,834.32

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Solution

The fourth proportional to 128,893.28, 193,314.87 and 64,834.32 is: 97,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,893.28 : 193,314.87 = 64,834.32 : x
  2. Step 2: Convert to fraction form
    128,893.28/193,314.87 = 64,834.32/x
  3. Step 3: Cross multiply
    128,893.28x = 193,314.87 × 64,834.32
  4. Step 4: Simplify right side
    128,893.28x = 12,533,438,867.27
  5. Step 5: Solve for x
    x = 12,533,438,867.27/128,893.28
  6. Step 6: Final answer
    x = 97,238.89

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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.