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Finding the Fourth Proportional to 64,739, 97,116.60 and 23,186

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Solution

The fourth proportional to 64,739, 97,116.60 and 23,186 is: 34,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,739 : 97,116.60 = 23,186 : x
  2. Step 2: Convert to fraction form
    64,739/97,116.60 = 23,186/x
  3. Step 3: Cross multiply
    64,739x = 97,116.60 × 23,186
  4. Step 4: Simplify right side
    64,739x = 2,251,745,487.60
  5. Step 5: Solve for x
    x = 2,251,745,487.60/64,739
  6. Step 6: Final answer
    x = 34,781.90

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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.