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Finding the Fourth Proportional to 168,940.34, 253,410.48 and 77,746.54

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Solution

The fourth proportional to 168,940.34, 253,410.48 and 77,746.54 is: 116,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,940.34 : 253,410.48 = 77,746.54 : x
  2. Step 2: Convert to fraction form
    168,940.34/253,410.48 = 77,746.54/x
  3. Step 3: Cross multiply
    168,940.34x = 253,410.48 × 77,746.54
  4. Step 4: Simplify right side
    168,940.34x = 19,701,788,019.74
  5. Step 5: Solve for x
    x = 19,701,788,019.74/168,940.34
  6. Step 6: Final answer
    x = 116,619.80

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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.