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Finding the Fourth Proportional to 171,368.86, 257,105.84 and 76,678.75

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Solution

The fourth proportional to 171,368.86, 257,105.84 and 76,678.75 is: 115,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,368.86 : 257,105.84 = 76,678.75 : x
  2. Step 2: Convert to fraction form
    171,368.86/257,105.84 = 76,678.75/x
  3. Step 3: Cross multiply
    171,368.86x = 257,105.84 × 76,678.75
  4. Step 4: Simplify right side
    171,368.86x = 19,714,553,977.83
  5. Step 5: Solve for x
    x = 19,714,553,977.83/171,368.86
  6. Step 6: Final answer
    x = 115,041.63

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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.