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Finding the Fourth Proportional to 43,655.84, 65,422.26 and 19,905.02

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Solution

The fourth proportional to 43,655.84, 65,422.26 and 19,905.02 is: 29,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,655.84 : 65,422.26 = 19,905.02 : x
  2. Step 2: Convert to fraction form
    43,655.84/65,422.26 = 19,905.02/x
  3. Step 3: Cross multiply
    43,655.84x = 65,422.26 × 19,905.02
  4. Step 4: Simplify right side
    43,655.84x = 1,302,231,066.63
  5. Step 5: Solve for x
    x = 1,302,231,066.63/43,655.84
  6. Step 6: Final answer
    x = 29,829.48

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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.