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Finding the Fourth Proportional to 75,263, 112,902.06 and 19,859

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Solution

The fourth proportional to 75,263, 112,902.06 and 19,859 is: 29,790.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,263 : 112,902.06 = 19,859 : x
  2. Step 2: Convert to fraction form
    75,263/112,902.06 = 19,859/x
  3. Step 3: Cross multiply
    75,263x = 112,902.06 × 19,859
  4. Step 4: Simplify right side
    75,263x = 2,242,122,009.54
  5. Step 5: Solve for x
    x = 2,242,122,009.54/75,263
  6. Step 6: Final answer
    x = 29,790.49

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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.