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Finding the Fourth Proportional to 117,027.81, 161,496.80 and 65,345.72

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Solution

The fourth proportional to 117,027.81, 161,496.80 and 65,345.72 is: 90,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,027.81 : 161,496.80 = 65,345.72 : x
  2. Step 2: Convert to fraction form
    117,027.81/161,496.80 = 65,345.72/x
  3. Step 3: Cross multiply
    117,027.81x = 161,496.80 × 65,345.72
  4. Step 4: Simplify right side
    117,027.81x = 10,553,123,539.48
  5. Step 5: Solve for x
    x = 10,553,123,539.48/117,027.81
  6. Step 6: Final answer
    x = 90,176.20

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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.