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Finding the Fourth Proportional to 43,781, 65,681.08 and 14,201.82

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Solution

The fourth proportional to 43,781, 65,681.08 and 14,201.82 is: 21,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,781 : 65,681.08 = 14,201.82 : x
  2. Step 2: Convert to fraction form
    43,781/65,681.08 = 14,201.82/x
  3. Step 3: Cross multiply
    43,781x = 65,681.08 × 14,201.82
  4. Step 4: Simplify right side
    43,781x = 932,790,875.57
  5. Step 5: Solve for x
    x = 932,790,875.57/43,781
  6. Step 6: Final answer
    x = 21,305.84

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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.