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Finding the Fourth Proportional to 255,997.74, 384,002.14 and 78,500.82

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Solution

The fourth proportional to 255,997.74, 384,002.14 and 78,500.82 is: 117,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,997.74 : 384,002.14 = 78,500.82 : x
  2. Step 2: Convert to fraction form
    255,997.74/384,002.14 = 78,500.82/x
  3. Step 3: Cross multiply
    255,997.74x = 384,002.14 × 78,500.82
  4. Step 4: Simplify right side
    255,997.74x = 30,144,482,871.75
  5. Step 5: Solve for x
    x = 30,144,482,871.75/255,997.74
  6. Step 6: Final answer
    x = 117,752.93

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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.