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Finding the Fourth Proportional to 171,188.52, 256,814.94 and 77,700.84

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Solution

The fourth proportional to 171,188.52, 256,814.94 and 77,700.84 is: 116,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,188.52 : 256,814.94 = 77,700.84 : x
  2. Step 2: Convert to fraction form
    171,188.52/256,814.94 = 77,700.84/x
  3. Step 3: Cross multiply
    171,188.52x = 256,814.94 × 77,700.84
  4. Step 4: Simplify right side
    171,188.52x = 19,954,736,562.55
  5. Step 5: Solve for x
    x = 19,954,736,562.55/171,188.52
  6. Step 6: Final answer
    x = 116,565.86

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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.