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Finding the Fourth Proportional to 75,259, 112,896.06 and 19,855

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Solution

The fourth proportional to 75,259, 112,896.06 and 19,855 is: 29,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259 : 112,896.06 = 19,855 : x
  2. Step 2: Convert to fraction form
    75,259/112,896.06 = 19,855/x
  3. Step 3: Cross multiply
    75,259x = 112,896.06 × 19,855
  4. Step 4: Simplify right side
    75,259x = 2,241,551,271.30
  5. Step 5: Solve for x
    x = 2,241,551,271.30/75,259
  6. Step 6: Final answer
    x = 29,784.49

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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.