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Finding the Fourth Proportional to 117,204, 161,762.32 and 113,315.36

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Solution

The fourth proportional to 117,204, 161,762.32 and 113,315.36 is: 156,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,204 : 161,762.32 = 113,315.36 : x
  2. Step 2: Convert to fraction form
    117,204/161,762.32 = 113,315.36/x
  3. Step 3: Cross multiply
    117,204x = 161,762.32 × 113,315.36
  4. Step 4: Simplify right side
    117,204x = 18,330,155,525.24
  5. Step 5: Solve for x
    x = 18,330,155,525.24/117,204
  6. Step 6: Final answer
    x = 156,395.31

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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.