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Finding the Fourth Proportional to 65,871.54, 90,902.75 and 35,656.76

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Solution

The fourth proportional to 65,871.54, 90,902.75 and 35,656.76 is: 49,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,871.54 : 90,902.75 = 35,656.76 : x
  2. Step 2: Convert to fraction form
    65,871.54/90,902.75 = 35,656.76/x
  3. Step 3: Cross multiply
    65,871.54x = 90,902.75 × 35,656.76
  4. Step 4: Simplify right side
    65,871.54x = 3,241,297,589.06
  5. Step 5: Solve for x
    x = 3,241,297,589.06/65,871.54
  6. Step 6: Final answer
    x = 49,206.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.