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Finding the Fourth Proportional to 75,259.88, 112,897.37 and 19,855.88

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Solution

The fourth proportional to 75,259.88, 112,897.37 and 19,855.88 is: 29,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259.88 : 112,897.37 = 19,855.88 : x
  2. Step 2: Convert to fraction form
    75,259.88/112,897.37 = 19,855.88/x
  3. Step 3: Cross multiply
    75,259.88x = 112,897.37 × 19,855.88
  4. Step 4: Simplify right side
    75,259.88x = 2,241,676,116.19
  5. Step 5: Solve for x
    x = 2,241,676,116.19/75,259.88
  6. Step 6: Final answer
    x = 29,785.81

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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.