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Finding the Fourth Proportional to 117,171.16, 161,684.64 and 65,478.71

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Solution

The fourth proportional to 117,171.16, 161,684.64 and 65,478.71 is: 90,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,171.16 : 161,684.64 = 65,478.71 : x
  2. Step 2: Convert to fraction form
    117,171.16/161,684.64 = 65,478.71/x
  3. Step 3: Cross multiply
    117,171.16x = 161,684.64 × 65,478.71
  4. Step 4: Simplify right side
    117,171.16x = 10,586,902,058.23
  5. Step 5: Solve for x
    x = 10,586,902,058.23/117,171.16
  6. Step 6: Final answer
    x = 90,354.16

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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.