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Finding the Fourth Proportional to 198,165.69, 273,347.70 and 117,539.22

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Solution

The fourth proportional to 198,165.69, 273,347.70 and 117,539.22 is: 162,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,165.69 : 273,347.70 = 117,539.22 : x
  2. Step 2: Convert to fraction form
    198,165.69/273,347.70 = 117,539.22/x
  3. Step 3: Cross multiply
    198,165.69x = 273,347.70 × 117,539.22
  4. Step 4: Simplify right side
    198,165.69x = 32,129,075,446.79
  5. Step 5: Solve for x
    x = 32,129,075,446.79/198,165.69
  6. Step 6: Final answer
    x = 162,132.38

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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.