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Finding the Fourth Proportional to 116,704.96, 161,036.64 and 65,709.12

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Solution

The fourth proportional to 116,704.96, 161,036.64 and 65,709.12 is: 90,669.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,704.96 : 161,036.64 = 65,709.12 : x
  2. Step 2: Convert to fraction form
    116,704.96/161,036.64 = 65,709.12/x
  3. Step 3: Cross multiply
    116,704.96x = 161,036.64 × 65,709.12
  4. Step 4: Simplify right side
    116,704.96x = 10,581,575,902.16
  5. Step 5: Solve for x
    x = 10,581,575,902.16/116,704.96
  6. Step 6: Final answer
    x = 90,669.46

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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.