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Finding the Fourth Proportional to 65,164.63, 97,754.64 and 20,775.82

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Solution

The fourth proportional to 65,164.63, 97,754.64 and 20,775.82 is: 31,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.63 : 97,754.64 = 20,775.82 : x
  2. Step 2: Convert to fraction form
    65,164.63/97,754.64 = 20,775.82/x
  3. Step 3: Cross multiply
    65,164.63x = 97,754.64 × 20,775.82
  4. Step 4: Simplify right side
    65,164.63x = 2,030,932,804.80
  5. Step 5: Solve for x
    x = 2,030,932,804.80/65,164.63
  6. Step 6: Final answer
    x = 31,166.18

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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.