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Finding the Fourth Proportional to 72,259.84, 108,381.12 and 19,673.44

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Solution

The fourth proportional to 72,259.84, 108,381.12 and 19,673.44 is: 29,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,259.84 : 108,381.12 = 19,673.44 : x
  2. Step 2: Convert to fraction form
    72,259.84/108,381.12 = 19,673.44/x
  3. Step 3: Cross multiply
    72,259.84x = 108,381.12 × 19,673.44
  4. Step 4: Simplify right side
    72,259.84x = 2,132,229,461.45
  5. Step 5: Solve for x
    x = 2,132,229,461.45/72,259.84
  6. Step 6: Final answer
    x = 29,507.81

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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.