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Finding the Fourth Proportional to 255,213.76, 382,836.42 and 77,733.84

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Solution

The fourth proportional to 255,213.76, 382,836.42 and 77,733.84 is: 116,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213.76 : 382,836.42 = 77,733.84 : x
  2. Step 2: Convert to fraction form
    255,213.76/382,836.42 = 77,733.84/x
  3. Step 3: Cross multiply
    255,213.76x = 382,836.42 × 77,733.84
  4. Step 4: Simplify right side
    255,213.76x = 29,759,345,018.45
  5. Step 5: Solve for x
    x = 29,759,345,018.45/255,213.76
  6. Step 6: Final answer
    x = 116,605.57

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1.5x scale

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.