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Finding the Fourth Proportional to 117,658.13, 162,365.40 and 65,971.78

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Solution

The fourth proportional to 117,658.13, 162,365.40 and 65,971.78 is: 91,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,658.13 : 162,365.40 = 65,971.78 : x
  2. Step 2: Convert to fraction form
    117,658.13/162,365.40 = 65,971.78/x
  3. Step 3: Cross multiply
    117,658.13x = 162,365.40 × 65,971.78
  4. Step 4: Simplify right side
    117,658.13x = 10,711,534,042.50
  5. Step 5: Solve for x
    x = 10,711,534,042.50/117,658.13
  6. Step 6: Final answer
    x = 91,039.48

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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.