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Finding the Fourth Proportional to 117,168.31, 161,708.36 and 71,838.28

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Solution

The fourth proportional to 117,168.31, 161,708.36 and 71,838.28 is: 99,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,168.31 : 161,708.36 = 71,838.28 : x
  2. Step 2: Convert to fraction form
    117,168.31/161,708.36 = 71,838.28/x
  3. Step 3: Cross multiply
    117,168.31x = 161,708.36 × 71,838.28
  4. Step 4: Simplify right side
    117,168.31x = 11,616,850,444.02
  5. Step 5: Solve for x
    x = 11,616,850,444.02/117,168.31
  6. Step 6: Final answer
    x = 99,146.69

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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.