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Finding the Fourth Proportional to 117,409.50, 162,025.11 and 66,421.22

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Solution

The fourth proportional to 117,409.50, 162,025.11 and 66,421.22 is: 91,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,409.50 : 162,025.11 = 66,421.22 : x
  2. Step 2: Convert to fraction form
    117,409.50/162,025.11 = 66,421.22/x
  3. Step 3: Cross multiply
    117,409.50x = 162,025.11 × 66,421.22
  4. Step 4: Simplify right side
    117,409.50x = 10,761,904,666.71
  5. Step 5: Solve for x
    x = 10,761,904,666.71/117,409.50
  6. Step 6: Final answer
    x = 91,661.28

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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.