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Finding the Fourth Proportional to 255,839.61, 383,847.93 and 87,478.45

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Solution

The fourth proportional to 255,839.61, 383,847.93 and 87,478.45 is: 131,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,839.61 : 383,847.93 = 87,478.45 : x
  2. Step 2: Convert to fraction form
    255,839.61/383,847.93 = 87,478.45/x
  3. Step 3: Cross multiply
    255,839.61x = 383,847.93 × 87,478.45
  4. Step 4: Simplify right side
    255,839.61x = 33,578,420,992.49
  5. Step 5: Solve for x
    x = 33,578,420,992.49/255,839.61
  6. Step 6: Final answer
    x = 131,247.93

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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.