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Finding the Fourth Proportional to 168,946.48, 253,419.52 and 77,752.70

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Solution

The fourth proportional to 168,946.48, 253,419.52 and 77,752.70 is: 116,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,946.48 : 253,419.52 = 77,752.70 : x
  2. Step 2: Convert to fraction form
    168,946.48/253,419.52 = 77,752.70/x
  3. Step 3: Cross multiply
    168,946.48x = 253,419.52 × 77,752.70
  4. Step 4: Simplify right side
    168,946.48x = 19,704,051,912.70
  5. Step 5: Solve for x
    x = 19,704,051,912.70/168,946.48
  6. Step 6: Final answer
    x = 116,628.96

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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.