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Finding the Fourth Proportional to 75,858.82, 113,806.51 and 28,474.40

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Solution

The fourth proportional to 75,858.82, 113,806.51 and 28,474.40 is: 42,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858.82 : 113,806.51 = 28,474.40 : x
  2. Step 2: Convert to fraction form
    75,858.82/113,806.51 = 28,474.40/x
  3. Step 3: Cross multiply
    75,858.82x = 113,806.51 × 28,474.40
  4. Step 4: Simplify right side
    75,858.82x = 3,240,572,301.67
  5. Step 5: Solve for x
    x = 3,240,572,301.67/75,858.82
  6. Step 6: Final answer
    x = 42,718.47

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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.