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Finding the Fourth Proportional to 65,184.39, 97,775.78 and 20,810.57

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Solution

The fourth proportional to 65,184.39, 97,775.78 and 20,810.57 is: 31,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184.39 : 97,775.78 = 20,810.57 : x
  2. Step 2: Convert to fraction form
    65,184.39/97,775.78 = 20,810.57/x
  3. Step 3: Cross multiply
    65,184.39x = 97,775.78 × 20,810.57
  4. Step 4: Simplify right side
    65,184.39x = 2,034,769,121.06
  5. Step 5: Solve for x
    x = 2,034,769,121.06/65,184.39
  6. Step 6: Final answer
    x = 31,215.59

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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.