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Finding the Fourth Proportional to 116,419.20, 174,628.80 and 53,239.20

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Solution

The fourth proportional to 116,419.20, 174,628.80 and 53,239.20 is: 79,858.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,419.20 : 174,628.80 = 53,239.20 : x
  2. Step 2: Convert to fraction form
    116,419.20/174,628.80 = 53,239.20/x
  3. Step 3: Cross multiply
    116,419.20x = 174,628.80 × 53,239.20
  4. Step 4: Simplify right side
    116,419.20x = 9,297,097,608.96
  5. Step 5: Solve for x
    x = 9,297,097,608.96/116,419.20
  6. Step 6: Final answer
    x = 79,858.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.