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Finding the Fourth Proportional to 117,398.72, 162,007.44 and 65,009.28

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Solution

The fourth proportional to 117,398.72, 162,007.44 and 65,009.28 is: 89,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,398.72 : 162,007.44 = 65,009.28 : x
  2. Step 2: Convert to fraction form
    117,398.72/162,007.44 = 65,009.28/x
  3. Step 3: Cross multiply
    117,398.72x = 162,007.44 × 65,009.28
  4. Step 4: Simplify right side
    117,398.72x = 10,531,987,029.04
  5. Step 5: Solve for x
    x = 10,531,987,029.04/117,398.72
  6. Step 6: Final answer
    x = 89,711.26

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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.