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Finding the Fourth Proportional to 117,394.71, 161,824.94 and 71,988.49

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Solution

The fourth proportional to 117,394.71, 161,824.94 and 71,988.49 is: 99,233.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,394.71 : 161,824.94 = 71,988.49 : x
  2. Step 2: Convert to fraction form
    117,394.71/161,824.94 = 71,988.49/x
  3. Step 3: Cross multiply
    117,394.71x = 161,824.94 × 71,988.49
  4. Step 4: Simplify right side
    117,394.71x = 11,649,533,074.94
  5. Step 5: Solve for x
    x = 11,649,533,074.94/117,394.71
  6. Step 6: Final answer
    x = 99,233.89

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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.