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Finding the Fourth Proportional to 64,701.31, 97,051.94 and 20,331.94

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Solution

The fourth proportional to 64,701.31, 97,051.94 and 20,331.94 is: 30,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,701.31 : 97,051.94 = 20,331.94 : x
  2. Step 2: Convert to fraction form
    64,701.31/97,051.94 = 20,331.94/x
  3. Step 3: Cross multiply
    64,701.31x = 97,051.94 × 20,331.94
  4. Step 4: Simplify right side
    64,701.31x = 1,973,253,735.70
  5. Step 5: Solve for x
    x = 1,973,253,735.70/64,701.31
  6. Step 6: Final answer
    x = 30,497.90

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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.