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Finding the Fourth Proportional to 117,346.54, 161,938.02 and 65,663.68

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Solution

The fourth proportional to 117,346.54, 161,938.02 and 65,663.68 is: 90,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,346.54 : 161,938.02 = 65,663.68 : x
  2. Step 2: Convert to fraction form
    117,346.54/161,938.02 = 65,663.68/x
  3. Step 3: Cross multiply
    117,346.54x = 161,938.02 × 65,663.68
  4. Step 4: Simplify right side
    117,346.54x = 10,633,446,325.11
  5. Step 5: Solve for x
    x = 10,633,446,325.11/117,346.54
  6. Step 6: Final answer
    x = 90,615.76

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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.